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Finding the Third Proportional to 424,103 and 914,631

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Solution

The third proportional to 424,103 and 914,631 is: 1,972,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,103 : 914,631 = 914,631 : x
  2. Step 2: Convert to fraction form
    424,103/914,631 = 914,631/x
  3. Step 3: Cross multiply
    424,103x = 914,631 × 914,631
  4. Step 4: Simplify right side
    424,103x = 836,549,866,161
  5. Step 5: Solve for x
    x = 836,549,866,161/424,103
  6. Step 6: Final answer
    x = 1,972,515.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.