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Finding the Third Proportional to 2,029,514 and 4,376,324

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Solution

The third proportional to 2,029,514 and 4,376,324 is: 9,436,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,514 : 4,376,324 = 4,376,324 : x
  2. Step 2: Convert to fraction form
    2,029,514/4,376,324 = 4,376,324/x
  3. Step 3: Cross multiply
    2,029,514x = 4,376,324 × 4,376,324
  4. Step 4: Simplify right side
    2,029,514x = 19,152,211,752,976
  5. Step 5: Solve for x
    x = 19,152,211,752,976/2,029,514
  6. Step 6: Final answer
    x = 9,436,846.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.