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Finding the Third Proportional to 2,067,366 and 4,385,164

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Solution

The third proportional to 2,067,366 and 4,385,164 is: 9,301,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,366 : 4,385,164 = 4,385,164 : x
  2. Step 2: Convert to fraction form
    2,067,366/4,385,164 = 4,385,164/x
  3. Step 3: Cross multiply
    2,067,366x = 4,385,164 × 4,385,164
  4. Step 4: Simplify right side
    2,067,366x = 19,229,663,306,896
  5. Step 5: Solve for x
    x = 19,229,663,306,896/2,067,366
  6. Step 6: Final answer
    x = 9,301,528.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.