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Finding the Third Proportional to 402,126 and 866,034.75

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Solution

The third proportional to 402,126 and 866,034.75 is: 1,865,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,126 : 866,034.75 = 866,034.75 : x
  2. Step 2: Convert to fraction form
    402,126/866,034.75 = 866,034.75/x
  3. Step 3: Cross multiply
    402,126x = 866,034.75 × 866,034.75
  4. Step 4: Simplify right side
    402,126x = 750,016,188,207.56
  5. Step 5: Solve for x
    x = 750,016,188,207.56/402,126
  6. Step 6: Final answer
    x = 1,865,127.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.