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Finding the Third Proportional to 1,025,778.94 and 2,232,167.63

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Solution

The third proportional to 1,025,778.94 and 2,232,167.63 is: 4,857,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,778.94 : 2,232,167.63 = 2,232,167.63 : x
  2. Step 2: Convert to fraction form
    1,025,778.94/2,232,167.63 = 2,232,167.63/x
  3. Step 3: Cross multiply
    1,025,778.94x = 2,232,167.63 × 2,232,167.63
  4. Step 4: Simplify right side
    1,025,778.94x = 4,982,572,306,098.14
  5. Step 5: Solve for x
    x = 4,982,572,306,098.14/1,025,778.94
  6. Step 6: Final answer
    x = 4,857,354.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.