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Finding the Third Proportional to 424,171.50 and 909,060.75

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Solution

The third proportional to 424,171.50 and 909,060.75 is: 1,948,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,171.50 : 909,060.75 = 909,060.75 : x
  2. Step 2: Convert to fraction form
    424,171.50/909,060.75 = 909,060.75/x
  3. Step 3: Cross multiply
    424,171.50x = 909,060.75 × 909,060.75
  4. Step 4: Simplify right side
    424,171.50x = 826,391,447,190.56
  5. Step 5: Solve for x
    x = 826,391,447,190.56/424,171.50
  6. Step 6: Final answer
    x = 1,948,248.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.