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Finding the Third Proportional to 2,661,082 and 4,169,649

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Solution

The third proportional to 2,661,082 and 4,169,649 is: 6,533,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,082 : 4,169,649 = 4,169,649 : x
  2. Step 2: Convert to fraction form
    2,661,082/4,169,649 = 4,169,649/x
  3. Step 3: Cross multiply
    2,661,082x = 4,169,649 × 4,169,649
  4. Step 4: Simplify right side
    2,661,082x = 17,385,972,783,201
  5. Step 5: Solve for x
    x = 17,385,972,783,201/2,661,082
  6. Step 6: Final answer
    x = 6,533,422.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.