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Finding the Third Proportional to 599,292 and 1,287,522

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Solution

The third proportional to 599,292 and 1,287,522 is: 2,766,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,292 : 1,287,522 = 1,287,522 : x
  2. Step 2: Convert to fraction form
    599,292/1,287,522 = 1,287,522/x
  3. Step 3: Cross multiply
    599,292x = 1,287,522 × 1,287,522
  4. Step 4: Simplify right side
    599,292x = 1,657,712,900,484
  5. Step 5: Solve for x
    x = 1,657,712,900,484/599,292
  6. Step 6: Final answer
    x = 2,766,118.85

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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.