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Finding the Third Proportional to 424,182 and 914,784

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Solution

The third proportional to 424,182 and 914,784 is: 1,972,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,182 : 914,784 = 914,784 : x
  2. Step 2: Convert to fraction form
    424,182/914,784 = 914,784/x
  3. Step 3: Cross multiply
    424,182x = 914,784 × 914,784
  4. Step 4: Simplify right side
    424,182x = 836,829,766,656
  5. Step 5: Solve for x
    x = 836,829,766,656/424,182
  6. Step 6: Final answer
    x = 1,972,808.29

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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.