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Finding the Third Proportional to 1,021,773.23 and 2,408,604.61

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Solution

The third proportional to 1,021,773.23 and 2,408,604.61 is: 5,677,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,773.23 : 2,408,604.61 = 2,408,604.61 : x
  2. Step 2: Convert to fraction form
    1,021,773.23/2,408,604.61 = 2,408,604.61/x
  3. Step 3: Cross multiply
    1,021,773.23x = 2,408,604.61 × 2,408,604.61
  4. Step 4: Simplify right side
    1,021,773.23x = 5,801,376,164,302.50
  5. Step 5: Solve for x
    x = 5,801,376,164,302.50/1,021,773.23
  6. Step 6: Final answer
    x = 5,677,753.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.