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Finding the Third Proportional to 663,228 and 1,432,353

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Solution

The third proportional to 663,228 and 1,432,353 is: 3,093,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,228 : 1,432,353 = 1,432,353 : x
  2. Step 2: Convert to fraction form
    663,228/1,432,353 = 1,432,353/x
  3. Step 3: Cross multiply
    663,228x = 1,432,353 × 1,432,353
  4. Step 4: Simplify right side
    663,228x = 2,051,635,116,609
  5. Step 5: Solve for x
    x = 2,051,635,116,609/663,228
  6. Step 6: Final answer
    x = 3,093,408.48

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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.