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Finding the Third Proportional to 861,978 and 1,364,229

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Solution

The third proportional to 861,978 and 1,364,229 is: 2,159,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,978 : 1,364,229 = 1,364,229 : x
  2. Step 2: Convert to fraction form
    861,978/1,364,229 = 1,364,229/x
  3. Step 3: Cross multiply
    861,978x = 1,364,229 × 1,364,229
  4. Step 4: Simplify right side
    861,978x = 1,861,120,764,441
  5. Step 5: Solve for x
    x = 1,861,120,764,441/861,978
  6. Step 6: Final answer
    x = 2,159,127.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.