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Finding the Third Proportional to 2,067,998 and 4,544,214

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Solution

The third proportional to 2,067,998 and 4,544,214 is: 9,985,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,998 : 4,544,214 = 4,544,214 : x
  2. Step 2: Convert to fraction form
    2,067,998/4,544,214 = 4,544,214/x
  3. Step 3: Cross multiply
    2,067,998x = 4,544,214 × 4,544,214
  4. Step 4: Simplify right side
    2,067,998x = 20,649,880,877,796
  5. Step 5: Solve for x
    x = 20,649,880,877,796/2,067,998
  6. Step 6: Final answer
    x = 9,985,445.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.