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Finding the Third Proportional to 1,027,018 and 2,216,420

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Solution

The third proportional to 1,027,018 and 2,216,420 is: 4,783,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,018 : 2,216,420 = 2,216,420 : x
  2. Step 2: Convert to fraction form
    1,027,018/2,216,420 = 2,216,420/x
  3. Step 3: Cross multiply
    1,027,018x = 2,216,420 × 2,216,420
  4. Step 4: Simplify right side
    1,027,018x = 4,912,517,616,400
  5. Step 5: Solve for x
    x = 4,912,517,616,400/1,027,018
  6. Step 6: Final answer
    x = 4,783,282.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.