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Finding the Third Proportional to 2,146,171.50 and 4,665,087

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Solution

The third proportional to 2,146,171.50 and 4,665,087 is: 10,140,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,171.50 : 4,665,087 = 4,665,087 : x
  2. Step 2: Convert to fraction form
    2,146,171.50/4,665,087 = 4,665,087/x
  3. Step 3: Cross multiply
    2,146,171.50x = 4,665,087 × 4,665,087
  4. Step 4: Simplify right side
    2,146,171.50x = 21,763,036,717,569
  5. Step 5: Solve for x
    x = 21,763,036,717,569/2,146,171.50
  6. Step 6: Final answer
    x = 10,140,399.65

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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.