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Finding the Third Proportional to 4,092,035 and 5,689,649

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Solution

The third proportional to 4,092,035 and 5,689,649 is: 7,911,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092,035 : 5,689,649 = 5,689,649 : x
  2. Step 2: Convert to fraction form
    4,092,035/5,689,649 = 5,689,649/x
  3. Step 3: Cross multiply
    4,092,035x = 5,689,649 × 5,689,649
  4. Step 4: Simplify right side
    4,092,035x = 32,372,105,743,201
  5. Step 5: Solve for x
    x = 32,372,105,743,201/4,092,035
  6. Step 6: Final answer
    x = 7,911,004.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.