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Finding the Third Proportional to 1,564,920 and 3,428,730

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Solution

The third proportional to 1,564,920 and 3,428,730 is: 7,512,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,920 : 3,428,730 = 3,428,730 : x
  2. Step 2: Convert to fraction form
    1,564,920/3,428,730 = 3,428,730/x
  3. Step 3: Cross multiply
    1,564,920x = 3,428,730 × 3,428,730
  4. Step 4: Simplify right side
    1,564,920x = 11,756,189,412,900
  5. Step 5: Solve for x
    x = 11,756,189,412,900/1,564,920
  6. Step 6: Final answer
    x = 7,512,326.13

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