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Finding the Third Proportional to 519,085.13 and 1,111,979.81

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Solution

The third proportional to 519,085.13 and 1,111,979.81 is: 2,382,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,085.13 : 1,111,979.81 = 1,111,979.81 : x
  2. Step 2: Convert to fraction form
    519,085.13/1,111,979.81 = 1,111,979.81/x
  3. Step 3: Cross multiply
    519,085.13x = 1,111,979.81 × 1,111,979.81
  4. Step 4: Simplify right side
    519,085.13x = 1,236,499,103,407.54
  5. Step 5: Solve for x
    x = 1,236,499,103,407.54/519,085.13
  6. Step 6: Final answer
    x = 2,382,073.85

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