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Finding the Third Proportional to 773,742.38 and 1,704,948.75

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Solution

The third proportional to 773,742.38 and 1,704,948.75 is: 3,756,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,742.38 : 1,704,948.75 = 1,704,948.75 : x
  2. Step 2: Convert to fraction form
    773,742.38/1,704,948.75 = 1,704,948.75/x
  3. Step 3: Cross multiply
    773,742.38x = 1,704,948.75 × 1,704,948.75
  4. Step 4: Simplify right side
    773,742.38x = 2,906,850,240,126.56
  5. Step 5: Solve for x
    x = 2,906,850,240,126.56/773,742.38
  6. Step 6: Final answer
    x = 3,756,870.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.