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Finding the Third Proportional to 534,939.75 and 1,154,142

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Solution

The third proportional to 534,939.75 and 1,154,142 is: 2,490,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,939.75 : 1,154,142 = 1,154,142 : x
  2. Step 2: Convert to fraction form
    534,939.75/1,154,142 = 1,154,142/x
  3. Step 3: Cross multiply
    534,939.75x = 1,154,142 × 1,154,142
  4. Step 4: Simplify right side
    534,939.75x = 1,332,043,756,164
  5. Step 5: Solve for x
    x = 1,332,043,756,164/534,939.75
  6. Step 6: Final answer
    x = 2,490,081.84

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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.