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Finding the Third Proportional to 2,264,164 and 3,425,366

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Solution

The third proportional to 2,264,164 and 3,425,366 is: 5,182,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,164 : 3,425,366 = 3,425,366 : x
  2. Step 2: Convert to fraction form
    2,264,164/3,425,366 = 3,425,366/x
  3. Step 3: Cross multiply
    2,264,164x = 3,425,366 × 3,425,366
  4. Step 4: Simplify right side
    2,264,164x = 11,733,132,233,956
  5. Step 5: Solve for x
    x = 11,733,132,233,956/2,264,164
  6. Step 6: Final answer
    x = 5,182,103.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.