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Finding the Third Proportional to 390,996 and 913,470.75

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Solution

The third proportional to 390,996 and 913,470.75 is: 2,134,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,996 : 913,470.75 = 913,470.75 : x
  2. Step 2: Convert to fraction form
    390,996/913,470.75 = 913,470.75/x
  3. Step 3: Cross multiply
    390,996x = 913,470.75 × 913,470.75
  4. Step 4: Simplify right side
    390,996x = 834,428,811,105.56
  5. Step 5: Solve for x
    x = 834,428,811,105.56/390,996
  6. Step 6: Final answer
    x = 2,134,110.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.