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Finding the Third Proportional to 646,781.25 and 1,406,817

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Solution

The third proportional to 646,781.25 and 1,406,817 is: 3,059,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,781.25 : 1,406,817 = 1,406,817 : x
  2. Step 2: Convert to fraction form
    646,781.25/1,406,817 = 1,406,817/x
  3. Step 3: Cross multiply
    646,781.25x = 1,406,817 × 1,406,817
  4. Step 4: Simplify right side
    646,781.25x = 1,979,134,071,489
  5. Step 5: Solve for x
    x = 1,979,134,071,489/646,781.25
  6. Step 6: Final answer
    x = 3,059,974.41

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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.