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Finding the Third Proportional to 723,792 and 1,581,684

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Solution

The third proportional to 723,792 and 1,581,684 is: 3,456,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,792 : 1,581,684 = 1,581,684 : x
  2. Step 2: Convert to fraction form
    723,792/1,581,684 = 1,581,684/x
  3. Step 3: Cross multiply
    723,792x = 1,581,684 × 1,581,684
  4. Step 4: Simplify right side
    723,792x = 2,501,724,275,856
  5. Step 5: Solve for x
    x = 2,501,724,275,856/723,792
  6. Step 6: Final answer
    x = 3,456,413.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.