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Finding the Third Proportional to 2,241,972 and 4,904,766

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Solution

The third proportional to 2,241,972 and 4,904,766 is: 10,730,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,972 : 4,904,766 = 4,904,766 : x
  2. Step 2: Convert to fraction form
    2,241,972/4,904,766 = 4,904,766/x
  3. Step 3: Cross multiply
    2,241,972x = 4,904,766 × 4,904,766
  4. Step 4: Simplify right side
    2,241,972x = 24,056,729,514,756
  5. Step 5: Solve for x
    x = 24,056,729,514,756/2,241,972
  6. Step 6: Final answer
    x = 10,730,165.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.