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Finding the Third Proportional to 2,171,124 and 4,540,320

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Solution

The third proportional to 2,171,124 and 4,540,320 is: 9,494,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,124 : 4,540,320 = 4,540,320 : x
  2. Step 2: Convert to fraction form
    2,171,124/4,540,320 = 4,540,320/x
  3. Step 3: Cross multiply
    2,171,124x = 4,540,320 × 4,540,320
  4. Step 4: Simplify right side
    2,171,124x = 20,614,505,702,400
  5. Step 5: Solve for x
    x = 20,614,505,702,400/2,171,124
  6. Step 6: Final answer
    x = 9,494,854.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.