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Finding the Third Proportional to 2,408,761.13 and 3,546,605.25

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Solution

The third proportional to 2,408,761.13 and 3,546,605.25 is: 5,221,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,761.13 : 3,546,605.25 = 3,546,605.25 : x
  2. Step 2: Convert to fraction form
    2,408,761.13/3,546,605.25 = 3,546,605.25/x
  3. Step 3: Cross multiply
    2,408,761.13x = 3,546,605.25 × 3,546,605.25
  4. Step 4: Simplify right side
    2,408,761.13x = 12,578,408,799,327.56
  5. Step 5: Solve for x
    x = 12,578,408,799,327.56/2,408,761.13
  6. Step 6: Final answer
    x = 5,221,941.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.