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Finding the Third Proportional to 424,164 and 914,748

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Solution

The third proportional to 424,164 and 914,748 is: 1,972,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,164 : 914,748 = 914,748 : x
  2. Step 2: Convert to fraction form
    424,164/914,748 = 914,748/x
  3. Step 3: Cross multiply
    424,164x = 914,748 × 914,748
  4. Step 4: Simplify right side
    424,164x = 836,763,903,504
  5. Step 5: Solve for x
    x = 836,763,903,504/424,164
  6. Step 6: Final answer
    x = 1,972,736.73

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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.