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Finding the Third Proportional to 2,080,566 and 4,542,156

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Solution

The third proportional to 2,080,566 and 4,542,156 is: 9,916,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,566 : 4,542,156 = 4,542,156 : x
  2. Step 2: Convert to fraction form
    2,080,566/4,542,156 = 4,542,156/x
  3. Step 3: Cross multiply
    2,080,566x = 4,542,156 × 4,542,156
  4. Step 4: Simplify right side
    2,080,566x = 20,631,181,128,336
  5. Step 5: Solve for x
    x = 20,631,181,128,336/2,080,566
  6. Step 6: Final answer
    x = 9,916,138.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.