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Finding the Third Proportional to 709,165 and 1,517,987

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Solution

The third proportional to 709,165 and 1,517,987 is: 3,249,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,165 : 1,517,987 = 1,517,987 : x
  2. Step 2: Convert to fraction form
    709,165/1,517,987 = 1,517,987/x
  3. Step 3: Cross multiply
    709,165x = 1,517,987 × 1,517,987
  4. Step 4: Simplify right side
    709,165x = 2,304,284,532,169
  5. Step 5: Solve for x
    x = 2,304,284,532,169/709,165
  6. Step 6: Final answer
    x = 3,249,292.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.