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Finding the Third Proportional to 2,609,478 and 3,674,738

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Solution

The third proportional to 2,609,478 and 3,674,738 is: 5,174,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,478 : 3,674,738 = 3,674,738 : x
  2. Step 2: Convert to fraction form
    2,609,478/3,674,738 = 3,674,738/x
  3. Step 3: Cross multiply
    2,609,478x = 3,674,738 × 3,674,738
  4. Step 4: Simplify right side
    2,609,478x = 13,503,699,368,644
  5. Step 5: Solve for x
    x = 13,503,699,368,644/2,609,478
  6. Step 6: Final answer
    x = 5,174,866.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.