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Finding the Third Proportional to 736,707 and 1,107,792

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Solution

The third proportional to 736,707 and 1,107,792 is: 1,665,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,707 : 1,107,792 = 1,107,792 : x
  2. Step 2: Convert to fraction form
    736,707/1,107,792 = 1,107,792/x
  3. Step 3: Cross multiply
    736,707x = 1,107,792 × 1,107,792
  4. Step 4: Simplify right side
    736,707x = 1,227,203,115,264
  5. Step 5: Solve for x
    x = 1,227,203,115,264/736,707
  6. Step 6: Final answer
    x = 1,665,795.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.