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Finding the Third Proportional to 1,234,642.50 and 1,855,251

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Solution

The third proportional to 1,234,642.50 and 1,855,251 is: 2,787,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,642.50 : 1,855,251 = 1,855,251 : x
  2. Step 2: Convert to fraction form
    1,234,642.50/1,855,251 = 1,855,251/x
  3. Step 3: Cross multiply
    1,234,642.50x = 1,855,251 × 1,855,251
  4. Step 4: Simplify right side
    1,234,642.50x = 3,441,956,273,001
  5. Step 5: Solve for x
    x = 3,441,956,273,001/1,234,642.50
  6. Step 6: Final answer
    x = 2,787,816.13

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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.