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Finding the Third Proportional to 650,156 and 862,686

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Solution

The third proportional to 650,156 and 862,686 is: 1,144,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,156 : 862,686 = 862,686 : x
  2. Step 2: Convert to fraction form
    650,156/862,686 = 862,686/x
  3. Step 3: Cross multiply
    650,156x = 862,686 × 862,686
  4. Step 4: Simplify right side
    650,156x = 744,227,134,596
  5. Step 5: Solve for x
    x = 744,227,134,596/650,156
  6. Step 6: Final answer
    x = 1,144,690.10

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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.