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Finding the Third Proportional to 561,033 and 1,234,149.75

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Solution

The third proportional to 561,033 and 1,234,149.75 is: 2,714,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,033 : 1,234,149.75 = 1,234,149.75 : x
  2. Step 2: Convert to fraction form
    561,033/1,234,149.75 = 1,234,149.75/x
  3. Step 3: Cross multiply
    561,033x = 1,234,149.75 × 1,234,149.75
  4. Step 4: Simplify right side
    561,033x = 1,523,125,605,425.06
  5. Step 5: Solve for x
    x = 1,523,125,605,425.06/561,033
  6. Step 6: Final answer
    x = 2,714,859.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.