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Finding the Third Proportional to 599,671 and 1,298,987

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Solution

The third proportional to 599,671 and 1,298,987 is: 2,813,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,671 : 1,298,987 = 1,298,987 : x
  2. Step 2: Convert to fraction form
    599,671/1,298,987 = 1,298,987/x
  3. Step 3: Cross multiply
    599,671x = 1,298,987 × 1,298,987
  4. Step 4: Simplify right side
    599,671x = 1,687,367,226,169
  5. Step 5: Solve for x
    x = 1,687,367,226,169/599,671
  6. Step 6: Final answer
    x = 2,813,821.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.