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Finding the Third Proportional to 861,164 and 1,344,071

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Solution

The third proportional to 861,164 and 1,344,071 is: 2,097,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,164 : 1,344,071 = 1,344,071 : x
  2. Step 2: Convert to fraction form
    861,164/1,344,071 = 1,344,071/x
  3. Step 3: Cross multiply
    861,164x = 1,344,071 × 1,344,071
  4. Step 4: Simplify right side
    861,164x = 1,806,526,853,041
  5. Step 5: Solve for x
    x = 1,806,526,853,041/861,164
  6. Step 6: Final answer
    x = 2,097,773.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.