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Finding the Third Proportional to 1,513,920 and 3,306,496

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Solution

The third proportional to 1,513,920 and 3,306,496 is: 7,221,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513,920 : 3,306,496 = 3,306,496 : x
  2. Step 2: Convert to fraction form
    1,513,920/3,306,496 = 3,306,496/x
  3. Step 3: Cross multiply
    1,513,920x = 3,306,496 × 3,306,496
  4. Step 4: Simplify right side
    1,513,920x = 10,932,915,798,016
  5. Step 5: Solve for x
    x = 10,932,915,798,016/1,513,920
  6. Step 6: Final answer
    x = 7,221,594.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.