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Finding the Third Proportional to 502,790 and 1,084,294

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Solution

The third proportional to 502,790 and 1,084,294 is: 2,338,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,790 : 1,084,294 = 1,084,294 : x
  2. Step 2: Convert to fraction form
    502,790/1,084,294 = 1,084,294/x
  3. Step 3: Cross multiply
    502,790x = 1,084,294 × 1,084,294
  4. Step 4: Simplify right side
    502,790x = 1,175,693,478,436
  5. Step 5: Solve for x
    x = 1,175,693,478,436/502,790
  6. Step 6: Final answer
    x = 2,338,339.03

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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.