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Finding the Third Proportional to 801,312.75 and 1,729,026

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Solution

The third proportional to 801,312.75 and 1,729,026 is: 3,730,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,312.75 : 1,729,026 = 1,729,026 : x
  2. Step 2: Convert to fraction form
    801,312.75/1,729,026 = 1,729,026/x
  3. Step 3: Cross multiply
    801,312.75x = 1,729,026 × 1,729,026
  4. Step 4: Simplify right side
    801,312.75x = 2,989,530,908,676
  5. Step 5: Solve for x
    x = 2,989,530,908,676/801,312.75
  6. Step 6: Final answer
    x = 3,730,791.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.