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Finding the Third Proportional to 643,584 and 1,413,792

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Solution

The third proportional to 643,584 and 1,413,792 is: 3,105,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,584 : 1,413,792 = 1,413,792 : x
  2. Step 2: Convert to fraction form
    643,584/1,413,792 = 1,413,792/x
  3. Step 3: Cross multiply
    643,584x = 1,413,792 × 1,413,792
  4. Step 4: Simplify right side
    643,584x = 1,998,807,819,264
  5. Step 5: Solve for x
    x = 1,998,807,819,264/643,584
  6. Step 6: Final answer
    x = 3,105,745.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.