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Finding the Third Proportional to 1,142,972 and 1,567,327

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Solution

The third proportional to 1,142,972 and 1,567,327 is: 2,149,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,972 : 1,567,327 = 1,567,327 : x
  2. Step 2: Convert to fraction form
    1,142,972/1,567,327 = 1,567,327/x
  3. Step 3: Cross multiply
    1,142,972x = 1,567,327 × 1,567,327
  4. Step 4: Simplify right side
    1,142,972x = 2,456,513,924,929
  5. Step 5: Solve for x
    x = 2,456,513,924,929/1,142,972
  6. Step 6: Final answer
    x = 2,149,233.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.