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Finding the Third Proportional to 1,053,017.25 and 2,274,150

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Solution

The third proportional to 1,053,017.25 and 2,274,150 is: 4,911,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,017.25 : 2,274,150 = 2,274,150 : x
  2. Step 2: Convert to fraction form
    1,053,017.25/2,274,150 = 2,274,150/x
  3. Step 3: Cross multiply
    1,053,017.25x = 2,274,150 × 2,274,150
  4. Step 4: Simplify right side
    1,053,017.25x = 5,171,758,222,500
  5. Step 5: Solve for x
    x = 5,171,758,222,500/1,053,017.25
  6. Step 6: Final answer
    x = 4,911,370.85

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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.