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Finding the Third Proportional to 782,524.55 and 1,649,111.91

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Solution

The third proportional to 782,524.55 and 1,649,111.91 is: 3,475,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,524.55 : 1,649,111.91 = 1,649,111.91 : x
  2. Step 2: Convert to fraction form
    782,524.55/1,649,111.91 = 1,649,111.91/x
  3. Step 3: Cross multiply
    782,524.55x = 1,649,111.91 × 1,649,111.91
  4. Step 4: Simplify right side
    782,524.55x = 2,719,570,079,335.51
  5. Step 5: Solve for x
    x = 2,719,570,079,335.51/782,524.55
  6. Step 6: Final answer
    x = 3,475,379.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.