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Finding the Third Proportional to 519,682.78 and 1,111,184.44

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Solution

The third proportional to 519,682.78 and 1,111,184.44 is: 2,375,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,682.78 : 1,111,184.44 = 1,111,184.44 : x
  2. Step 2: Convert to fraction form
    519,682.78/1,111,184.44 = 1,111,184.44/x
  3. Step 3: Cross multiply
    519,682.78x = 1,111,184.44 × 1,111,184.44
  4. Step 4: Simplify right side
    519,682.78x = 1,234,730,854,142.19
  5. Step 5: Solve for x
    x = 1,234,730,854,142.19/519,682.78
  6. Step 6: Final answer
    x = 2,375,931.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.