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Finding the Third Proportional to 424,978 and 915,530

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Solution

The third proportional to 424,978 and 915,530 is: 1,972,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,978 : 915,530 = 915,530 : x
  2. Step 2: Convert to fraction form
    424,978/915,530 = 915,530/x
  3. Step 3: Cross multiply
    424,978x = 915,530 × 915,530
  4. Step 4: Simplify right side
    424,978x = 838,195,180,900
  5. Step 5: Solve for x
    x = 838,195,180,900/424,978
  6. Step 6: Final answer
    x = 1,972,326.05

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Why These Related Problems?

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