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Finding the Third Proportional to 502,853.91 and 1,101,364.59

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Solution

The third proportional to 502,853.91 and 1,101,364.59 is: 2,412,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,853.91 : 1,101,364.59 = 1,101,364.59 : x
  2. Step 2: Convert to fraction form
    502,853.91/1,101,364.59 = 1,101,364.59/x
  3. Step 3: Cross multiply
    502,853.91x = 1,101,364.59 × 1,101,364.59
  4. Step 4: Simplify right side
    502,853.91x = 1,213,003,968,366.10
  5. Step 5: Solve for x
    x = 1,213,003,968,366.10/502,853.91
  6. Step 6: Final answer
    x = 2,412,239.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.