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Finding the Third Proportional to 1,682,417 and 3,669,344

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Solution

The third proportional to 1,682,417 and 3,669,344 is: 8,002,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,417 : 3,669,344 = 3,669,344 : x
  2. Step 2: Convert to fraction form
    1,682,417/3,669,344 = 3,669,344/x
  3. Step 3: Cross multiply
    1,682,417x = 3,669,344 × 3,669,344
  4. Step 4: Simplify right side
    1,682,417x = 13,464,085,390,336
  5. Step 5: Solve for x
    x = 13,464,085,390,336/1,682,417
  6. Step 6: Final answer
    x = 8,002,822.96

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