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Finding the Third Proportional to 561,028.50 and 1,234,140.75

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Solution

The third proportional to 561,028.50 and 1,234,140.75 is: 2,714,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,028.50 : 1,234,140.75 = 1,234,140.75 : x
  2. Step 2: Convert to fraction form
    561,028.50/1,234,140.75 = 1,234,140.75/x
  3. Step 3: Cross multiply
    561,028.50x = 1,234,140.75 × 1,234,140.75
  4. Step 4: Simplify right side
    561,028.50x = 1,523,103,390,810.56
  5. Step 5: Solve for x
    x = 1,523,103,390,810.56/561,028.50
  6. Step 6: Final answer
    x = 2,714,841.39

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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.