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Finding the Third Proportional to 1,054,220,757,401 and 1,484,575,133,956

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Solution

The third proportional to 1,054,220,757,401 and 1,484,575,133,956 is: 2,090,608,928,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,220,757,401 : 1,484,575,133,956 = 1,484,575,133,956 : x
  2. Step 2: Convert to fraction form
    1,054,220,757,401/1,484,575,133,956 = 1,484,575,133,956/x
  3. Step 3: Cross multiply
    1,054,220,757,401x = 1,484,575,133,956 × 1,484,575,133,956
  4. Step 4: Simplify right side
    1,054,220,757,401x = 2,203,963,328,360,475,424,456,704
  5. Step 5: Solve for x
    x = 2,203,963,328,360,475,424,456,704/1,054,220,757,401
  6. Step 6: Final answer
    x = 2,090,608,928,811.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.