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Finding the Third Proportional to 2,138,820 and 4,755,846

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Solution

The third proportional to 2,138,820 and 4,755,846 is: 10,575,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,820 : 4,755,846 = 4,755,846 : x
  2. Step 2: Convert to fraction form
    2,138,820/4,755,846 = 4,755,846/x
  3. Step 3: Cross multiply
    2,138,820x = 4,755,846 × 4,755,846
  4. Step 4: Simplify right side
    2,138,820x = 22,618,071,175,716
  5. Step 5: Solve for x
    x = 22,618,071,175,716/2,138,820
  6. Step 6: Final answer
    x = 10,575,023.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.