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Finding the Third Proportional to 478,613.18 and 1,033,372.92

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Solution

The third proportional to 478,613.18 and 1,033,372.92 is: 2,231,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,613.18 : 1,033,372.92 = 1,033,372.92 : x
  2. Step 2: Convert to fraction form
    478,613.18/1,033,372.92 = 1,033,372.92/x
  3. Step 3: Cross multiply
    478,613.18x = 1,033,372.92 × 1,033,372.92
  4. Step 4: Simplify right side
    478,613.18x = 1,067,859,601,719.42
  5. Step 5: Solve for x
    x = 1,067,859,601,719.42/478,613.18
  6. Step 6: Final answer
    x = 2,231,153.77

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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.