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Finding the Third Proportional to 734,763.66 and 1,113,217.17

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Solution

The third proportional to 734,763.66 and 1,113,217.17 is: 1,686,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,763.66 : 1,113,217.17 = 1,113,217.17 : x
  2. Step 2: Convert to fraction form
    734,763.66/1,113,217.17 = 1,113,217.17/x
  3. Step 3: Cross multiply
    734,763.66x = 1,113,217.17 × 1,113,217.17
  4. Step 4: Simplify right side
    734,763.66x = 1,239,252,471,757.37
  5. Step 5: Solve for x
    x = 1,239,252,471,757.37/734,763.66
  6. Step 6: Final answer
    x = 1,686,600.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.