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Finding the Third Proportional to 2,433,042 and 3,557,115

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Solution

The third proportional to 2,433,042 and 3,557,115 is: 5,200,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,042 : 3,557,115 = 3,557,115 : x
  2. Step 2: Convert to fraction form
    2,433,042/3,557,115 = 3,557,115/x
  3. Step 3: Cross multiply
    2,433,042x = 3,557,115 × 3,557,115
  4. Step 4: Simplify right side
    2,433,042x = 12,653,067,123,225
  5. Step 5: Solve for x
    x = 12,653,067,123,225/2,433,042
  6. Step 6: Final answer
    x = 5,200,513.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.