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Finding the Third Proportional to 2,231,970 and 4,755,930

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Solution

The third proportional to 2,231,970 and 4,755,930 is: 10,134,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,970 : 4,755,930 = 4,755,930 : x
  2. Step 2: Convert to fraction form
    2,231,970/4,755,930 = 4,755,930/x
  3. Step 3: Cross multiply
    2,231,970x = 4,755,930 × 4,755,930
  4. Step 4: Simplify right side
    2,231,970x = 22,618,870,164,900
  5. Step 5: Solve for x
    x = 22,618,870,164,900/2,231,970
  6. Step 6: Final answer
    x = 10,134,038.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.