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Finding the Third Proportional to 510,983.44 and 1,074,876.33

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Solution

The third proportional to 510,983.44 and 1,074,876.33 is: 2,261,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,983.44 : 1,074,876.33 = 1,074,876.33 : x
  2. Step 2: Convert to fraction form
    510,983.44/1,074,876.33 = 1,074,876.33/x
  3. Step 3: Cross multiply
    510,983.44x = 1,074,876.33 × 1,074,876.33
  4. Step 4: Simplify right side
    510,983.44x = 1,155,359,120,763.48
  5. Step 5: Solve for x
    x = 1,155,359,120,763.48/510,983.44
  6. Step 6: Final answer
    x = 2,261,050.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.