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Finding the Third Proportional to 2,782,002 and 5,931,438

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Solution

The third proportional to 2,782,002 and 5,931,438 is: 12,646,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,002 : 5,931,438 = 5,931,438 : x
  2. Step 2: Convert to fraction form
    2,782,002/5,931,438 = 5,931,438/x
  3. Step 3: Cross multiply
    2,782,002x = 5,931,438 × 5,931,438
  4. Step 4: Simplify right side
    2,782,002x = 35,181,956,747,844
  5. Step 5: Solve for x
    x = 35,181,956,747,844/2,782,002
  6. Step 6: Final answer
    x = 12,646,272.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.