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Finding the Third Proportional to 424,173 and 914,764

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Solution

The third proportional to 424,173 and 914,764 is: 1,972,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,173 : 914,764 = 914,764 : x
  2. Step 2: Convert to fraction form
    424,173/914,764 = 914,764/x
  3. Step 3: Cross multiply
    424,173x = 914,764 × 914,764
  4. Step 4: Simplify right side
    424,173x = 836,793,175,696
  5. Step 5: Solve for x
    x = 836,793,175,696/424,173
  6. Step 6: Final answer
    x = 1,972,763.89

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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.