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Finding the Third Proportional to 1,661,314 and 3,622,814

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Solution

The third proportional to 1,661,314 and 3,622,814 is: 7,900,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,314 : 3,622,814 = 3,622,814 : x
  2. Step 2: Convert to fraction form
    1,661,314/3,622,814 = 3,622,814/x
  3. Step 3: Cross multiply
    1,661,314x = 3,622,814 × 3,622,814
  4. Step 4: Simplify right side
    1,661,314x = 13,124,781,278,596
  5. Step 5: Solve for x
    x = 13,124,781,278,596/1,661,314
  6. Step 6: Final answer
    x = 7,900,241.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.