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Finding the Third Proportional to 502,832.81 and 1,091,382.19

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Solution

The third proportional to 502,832.81 and 1,091,382.19 is: 2,368,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,832.81 : 1,091,382.19 = 1,091,382.19 : x
  2. Step 2: Convert to fraction form
    502,832.81/1,091,382.19 = 1,091,382.19/x
  3. Step 3: Cross multiply
    502,832.81x = 1,091,382.19 × 1,091,382.19
  4. Step 4: Simplify right side
    502,832.81x = 1,191,115,079,192.29
  5. Step 5: Solve for x
    x = 1,191,115,079,192.29/502,832.81
  6. Step 6: Final answer
    x = 2,368,809.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.