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Finding the Third Proportional to 775,821.38 and 1,204,090.31

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Solution

The third proportional to 775,821.38 and 1,204,090.31 is: 1,868,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,821.38 : 1,204,090.31 = 1,204,090.31 : x
  2. Step 2: Convert to fraction form
    775,821.38/1,204,090.31 = 1,204,090.31/x
  3. Step 3: Cross multiply
    775,821.38x = 1,204,090.31 × 1,204,090.31
  4. Step 4: Simplify right side
    775,821.38x = 1,449,833,480,656.35
  5. Step 5: Solve for x
    x = 1,449,833,480,656.35/775,821.38
  6. Step 6: Final answer
    x = 1,868,772.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.