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Finding the Third Proportional to 1,251,647.44 and 1,700,255.81

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Solution

The third proportional to 1,251,647.44 and 1,700,255.81 is: 2,309,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,647.44 : 1,700,255.81 = 1,700,255.81 : x
  2. Step 2: Convert to fraction form
    1,251,647.44/1,700,255.81 = 1,700,255.81/x
  3. Step 3: Cross multiply
    1,251,647.44x = 1,700,255.81 × 1,700,255.81
  4. Step 4: Simplify right side
    1,251,647.44x = 2,890,869,827,940.04
  5. Step 5: Solve for x
    x = 2,890,869,827,940.04/1,251,647.44
  6. Step 6: Final answer
    x = 2,309,651.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.