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Finding the Third Proportional to 650,146 and 862,674

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Solution

The third proportional to 650,146 and 862,674 is: 1,144,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,146 : 862,674 = 862,674 : x
  2. Step 2: Convert to fraction form
    650,146/862,674 = 862,674/x
  3. Step 3: Cross multiply
    650,146x = 862,674 × 862,674
  4. Step 4: Simplify right side
    650,146x = 744,206,430,276
  5. Step 5: Solve for x
    x = 744,206,430,276/650,146
  6. Step 6: Final answer
    x = 1,144,675.86

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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.