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Finding the Third Proportional to 2,338,666.17 and 3,498,463.20

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Solution

The third proportional to 2,338,666.17 and 3,498,463.20 is: 5,233,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,666.17 : 3,498,463.20 = 3,498,463.20 : x
  2. Step 2: Convert to fraction form
    2,338,666.17/3,498,463.20 = 3,498,463.20/x
  3. Step 3: Cross multiply
    2,338,666.17x = 3,498,463.20 × 3,498,463.20
  4. Step 4: Simplify right side
    2,338,666.17x = 12,239,244,728,956.15
  5. Step 5: Solve for x
    x = 12,239,244,728,956.15/2,338,666.17
  6. Step 6: Final answer
    x = 5,233,429.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.