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Finding the Third Proportional to 1,023,900 and 2,234,418

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Solution

The third proportional to 1,023,900 and 2,234,418 is: 4,876,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,900 : 2,234,418 = 2,234,418 : x
  2. Step 2: Convert to fraction form
    1,023,900/2,234,418 = 2,234,418/x
  3. Step 3: Cross multiply
    1,023,900x = 2,234,418 × 2,234,418
  4. Step 4: Simplify right side
    1,023,900x = 4,992,623,798,724
  5. Step 5: Solve for x
    x = 4,992,623,798,724/1,023,900
  6. Step 6: Final answer
    x = 4,876,085.36

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