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Finding the Third Proportional to 424,209 and 914,837

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Solution

The third proportional to 424,209 and 914,837 is: 1,972,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,209 : 914,837 = 914,837 : x
  2. Step 2: Convert to fraction form
    424,209/914,837 = 914,837/x
  3. Step 3: Cross multiply
    424,209x = 914,837 × 914,837
  4. Step 4: Simplify right side
    424,209x = 836,926,736,569
  5. Step 5: Solve for x
    x = 836,926,736,569/424,209
  6. Step 6: Final answer
    x = 1,972,911.32

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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.