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Finding the Third Proportional to 408,079.69 and 882,645.19

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Solution

The third proportional to 408,079.69 and 882,645.19 is: 1,909,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,079.69 : 882,645.19 = 882,645.19 : x
  2. Step 2: Convert to fraction form
    408,079.69/882,645.19 = 882,645.19/x
  3. Step 3: Cross multiply
    408,079.69x = 882,645.19 × 882,645.19
  4. Step 4: Simplify right side
    408,079.69x = 779,062,527,016.91
  5. Step 5: Solve for x
    x = 779,062,527,016.91/408,079.69
  6. Step 6: Final answer
    x = 1,909,094.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.