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Finding the Third Proportional to 2,098,873 and 4,638,782

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Solution

The third proportional to 2,098,873 and 4,638,782 is: 10,252,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,873 : 4,638,782 = 4,638,782 : x
  2. Step 2: Convert to fraction form
    2,098,873/4,638,782 = 4,638,782/x
  3. Step 3: Cross multiply
    2,098,873x = 4,638,782 × 4,638,782
  4. Step 4: Simplify right side
    2,098,873x = 21,518,298,443,524
  5. Step 5: Solve for x
    x = 21,518,298,443,524/2,098,873
  6. Step 6: Final answer
    x = 10,252,310.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.