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Finding the Third Proportional to 650,142 and 862,902

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Solution

The third proportional to 650,142 and 862,902 is: 1,145,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,142 : 862,902 = 862,902 : x
  2. Step 2: Convert to fraction form
    650,142/862,902 = 862,902/x
  3. Step 3: Cross multiply
    650,142x = 862,902 × 862,902
  4. Step 4: Simplify right side
    650,142x = 744,599,861,604
  5. Step 5: Solve for x
    x = 744,599,861,604/650,142
  6. Step 6: Final answer
    x = 1,145,288.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.