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Finding the Third Proportional to 812,074 and 1,191,567

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Solution

The third proportional to 812,074 and 1,191,567 is: 1,748,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,074 : 1,191,567 = 1,191,567 : x
  2. Step 2: Convert to fraction form
    812,074/1,191,567 = 1,191,567/x
  3. Step 3: Cross multiply
    812,074x = 1,191,567 × 1,191,567
  4. Step 4: Simplify right side
    812,074x = 1,419,831,915,489
  5. Step 5: Solve for x
    x = 1,419,831,915,489/812,074
  6. Step 6: Final answer
    x = 1,748,402.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.