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Finding the Third Proportional to 1,127,882,040 and 1,724,240,961

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Solution

The third proportional to 1,127,882,040 and 1,724,240,961 is: 2,635,920,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,882,040 : 1,724,240,961 = 1,724,240,961 : x
  2. Step 2: Convert to fraction form
    1,127,882,040/1,724,240,961 = 1,724,240,961/x
  3. Step 3: Cross multiply
    1,127,882,040x = 1,724,240,961 × 1,724,240,961
  4. Step 4: Simplify right side
    1,127,882,040x = 2,973,006,891,590,203,392
  5. Step 5: Solve for x
    x = 2,973,006,891,590,203,392/1,127,882,040
  6. Step 6: Final answer
    x = 2,635,920,057.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.