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Finding the Third Proportional to 424,186 and 914,792

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Solution

The third proportional to 424,186 and 914,792 is: 1,972,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,186 : 914,792 = 914,792 : x
  2. Step 2: Convert to fraction form
    424,186/914,792 = 914,792/x
  3. Step 3: Cross multiply
    424,186x = 914,792 × 914,792
  4. Step 4: Simplify right side
    424,186x = 836,844,403,264
  5. Step 5: Solve for x
    x = 836,844,403,264/424,186
  6. Step 6: Final answer
    x = 1,972,824.19

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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.