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Finding the Third Proportional to 479,733.56 and 1,034,197.13

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Solution

The third proportional to 479,733.56 and 1,034,197.13 is: 2,229,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,733.56 : 1,034,197.13 = 1,034,197.13 : x
  2. Step 2: Convert to fraction form
    479,733.56/1,034,197.13 = 1,034,197.13/x
  3. Step 3: Cross multiply
    479,733.56x = 1,034,197.13 × 1,034,197.13
  4. Step 4: Simplify right side
    479,733.56x = 1,069,563,693,358.27
  5. Step 5: Solve for x
    x = 1,069,563,693,358.27/479,733.56
  6. Step 6: Final answer
    x = 2,229,495.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.