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Finding the Third Proportional to 1,023,918 and 2,234,172

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Solution

The third proportional to 1,023,918 and 2,234,172 is: 4,874,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,918 : 2,234,172 = 2,234,172 : x
  2. Step 2: Convert to fraction form
    1,023,918/2,234,172 = 2,234,172/x
  3. Step 3: Cross multiply
    1,023,918x = 2,234,172 × 2,234,172
  4. Step 4: Simplify right side
    1,023,918x = 4,991,524,525,584
  5. Step 5: Solve for x
    x = 4,991,524,525,584/1,023,918
  6. Step 6: Final answer
    x = 4,874,926.04

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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.