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Finding the Third Proportional to 4,199,380 and 6,514,866

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Solution

The third proportional to 4,199,380 and 6,514,866 is: 10,107,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,380 : 6,514,866 = 6,514,866 : x
  2. Step 2: Convert to fraction form
    4,199,380/6,514,866 = 6,514,866/x
  3. Step 3: Cross multiply
    4,199,380x = 6,514,866 × 6,514,866
  4. Step 4: Simplify right side
    4,199,380x = 42,443,478,997,956
  5. Step 5: Solve for x
    x = 42,443,478,997,956/4,199,380
  6. Step 6: Final answer
    x = 10,107,082.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.