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Finding the Third Proportional to 725,792 and 1,032,240

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Solution

The third proportional to 725,792 and 1,032,240 is: 1,468,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,792 : 1,032,240 = 1,032,240 : x
  2. Step 2: Convert to fraction form
    725,792/1,032,240 = 1,032,240/x
  3. Step 3: Cross multiply
    725,792x = 1,032,240 × 1,032,240
  4. Step 4: Simplify right side
    725,792x = 1,065,519,417,600
  5. Step 5: Solve for x
    x = 1,065,519,417,600/725,792
  6. Step 6: Final answer
    x = 1,468,078.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.