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Finding the Third Proportional to 1,973,731 and 4,102,598

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Solution

The third proportional to 1,973,731 and 4,102,598 is: 8,527,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,731 : 4,102,598 = 4,102,598 : x
  2. Step 2: Convert to fraction form
    1,973,731/4,102,598 = 4,102,598/x
  3. Step 3: Cross multiply
    1,973,731x = 4,102,598 × 4,102,598
  4. Step 4: Simplify right side
    1,973,731x = 16,831,310,349,604
  5. Step 5: Solve for x
    x = 16,831,310,349,604/1,973,731
  6. Step 6: Final answer
    x = 8,527,661.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.