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Finding the Third Proportional to 599,272 and 1,287,478

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Solution

The third proportional to 599,272 and 1,287,478 is: 2,766,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,272 : 1,287,478 = 1,287,478 : x
  2. Step 2: Convert to fraction form
    599,272/1,287,478 = 1,287,478/x
  3. Step 3: Cross multiply
    599,272x = 1,287,478 × 1,287,478
  4. Step 4: Simplify right side
    599,272x = 1,657,599,600,484
  5. Step 5: Solve for x
    x = 1,657,599,600,484/599,272
  6. Step 6: Final answer
    x = 2,766,022.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.