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Finding the Third Proportional to 424,272 and 914,960

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Solution

The third proportional to 424,272 and 914,960 is: 1,973,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,272 : 914,960 = 914,960 : x
  2. Step 2: Convert to fraction form
    424,272/914,960 = 914,960/x
  3. Step 3: Cross multiply
    424,272x = 914,960 × 914,960
  4. Step 4: Simplify right side
    424,272x = 837,151,801,600
  5. Step 5: Solve for x
    x = 837,151,801,600/424,272
  6. Step 6: Final answer
    x = 1,973,148.83

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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.