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Finding the Third Proportional to 539,195.25 and 1,154,115

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Solution

The third proportional to 539,195.25 and 1,154,115 is: 2,470,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,195.25 : 1,154,115 = 1,154,115 : x
  2. Step 2: Convert to fraction form
    539,195.25/1,154,115 = 1,154,115/x
  3. Step 3: Cross multiply
    539,195.25x = 1,154,115 × 1,154,115
  4. Step 4: Simplify right side
    539,195.25x = 1,331,981,433,225
  5. Step 5: Solve for x
    x = 1,331,981,433,225/539,195.25
  6. Step 6: Final answer
    x = 2,470,313.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.