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Finding the Third Proportional to 561,147.75 and 822,043.69

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Solution

The third proportional to 561,147.75 and 822,043.69 is: 1,204,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,147.75 : 822,043.69 = 822,043.69 : x
  2. Step 2: Convert to fraction form
    561,147.75/822,043.69 = 822,043.69/x
  3. Step 3: Cross multiply
    561,147.75x = 822,043.69 × 822,043.69
  4. Step 4: Simplify right side
    561,147.75x = 675,755,824,158.60
  5. Step 5: Solve for x
    x = 675,755,824,158.60/561,147.75
  6. Step 6: Final answer
    x = 1,204,238.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.