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Finding the Third Proportional to 3,498,900 and 5,713,398

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Solution

The third proportional to 3,498,900 and 5,713,398 is: 9,329,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498,900 : 5,713,398 = 5,713,398 : x
  2. Step 2: Convert to fraction form
    3,498,900/5,713,398 = 5,713,398/x
  3. Step 3: Cross multiply
    3,498,900x = 5,713,398 × 5,713,398
  4. Step 4: Simplify right side
    3,498,900x = 32,642,916,706,404
  5. Step 5: Solve for x
    x = 32,642,916,706,404/3,498,900
  6. Step 6: Final answer
    x = 9,329,479.75

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.