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Finding the Third Proportional to 2,398,511.25 and 5,245,403.06

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Solution

The third proportional to 2,398,511.25 and 5,245,403.06 is: 11,471,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,511.25 : 5,245,403.06 = 5,245,403.06 : x
  2. Step 2: Convert to fraction form
    2,398,511.25/5,245,403.06 = 5,245,403.06/x
  3. Step 3: Cross multiply
    2,398,511.25x = 5,245,403.06 × 5,245,403.06
  4. Step 4: Simplify right side
    2,398,511.25x = 27,514,253,288,084.38
  5. Step 5: Solve for x
    x = 27,514,253,288,084.38/2,398,511.25
  6. Step 6: Final answer
    x = 11,471,388.05

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Why These Related Problems?

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