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Finding the Third Proportional to 599,298 and 1,287,534

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Solution

The third proportional to 599,298 and 1,287,534 is: 2,766,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,298 : 1,287,534 = 1,287,534 : x
  2. Step 2: Convert to fraction form
    599,298/1,287,534 = 1,287,534/x
  3. Step 3: Cross multiply
    599,298x = 1,287,534 × 1,287,534
  4. Step 4: Simplify right side
    599,298x = 1,657,743,801,156
  5. Step 5: Solve for x
    x = 1,657,743,801,156/599,298
  6. Step 6: Final answer
    x = 2,766,142.72

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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.