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Finding the Third Proportional to 614,806 and 940,865

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Solution

The third proportional to 614,806 and 940,865 is: 1,439,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,806 : 940,865 = 940,865 : x
  2. Step 2: Convert to fraction form
    614,806/940,865 = 940,865/x
  3. Step 3: Cross multiply
    614,806x = 940,865 × 940,865
  4. Step 4: Simplify right side
    614,806x = 885,226,948,225
  5. Step 5: Solve for x
    x = 885,226,948,225/614,806
  6. Step 6: Final answer
    x = 1,439,847.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.