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Finding the Third Proportional to 599,290 and 1,287,517

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Solution

The third proportional to 599,290 and 1,287,517 is: 2,766,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,290 : 1,287,517 = 1,287,517 : x
  2. Step 2: Convert to fraction form
    599,290/1,287,517 = 1,287,517/x
  3. Step 3: Cross multiply
    599,290x = 1,287,517 × 1,287,517
  4. Step 4: Simplify right side
    599,290x = 1,657,700,025,289
  5. Step 5: Solve for x
    x = 1,657,700,025,289/599,290
  6. Step 6: Final answer
    x = 2,766,106.60

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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.