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Finding the Third Proportional to 500,026.50 and 1,099,747.13

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Solution

The third proportional to 500,026.50 and 1,099,747.13 is: 2,418,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,026.50 : 1,099,747.13 = 1,099,747.13 : x
  2. Step 2: Convert to fraction form
    500,026.50/1,099,747.13 = 1,099,747.13/x
  3. Step 3: Cross multiply
    500,026.50x = 1,099,747.13 × 1,099,747.13
  4. Step 4: Simplify right side
    500,026.50x = 1,209,443,738,945.77
  5. Step 5: Solve for x
    x = 1,209,443,738,945.77/500,026.50
  6. Step 6: Final answer
    x = 2,418,759.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.