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Finding the Third Proportional to 2,231,348 and 4,580,311

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Solution

The third proportional to 2,231,348 and 4,580,311 is: 9,402,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,348 : 4,580,311 = 4,580,311 : x
  2. Step 2: Convert to fraction form
    2,231,348/4,580,311 = 4,580,311/x
  3. Step 3: Cross multiply
    2,231,348x = 4,580,311 × 4,580,311
  4. Step 4: Simplify right side
    2,231,348x = 20,979,248,856,721
  5. Step 5: Solve for x
    x = 20,979,248,856,721/2,231,348
  6. Step 6: Final answer
    x = 9,402,051.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.