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Finding the Third Proportional to 1,648,217 and 3,422,767

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Solution

The third proportional to 1,648,217 and 3,422,767 is: 7,107,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,217 : 3,422,767 = 3,422,767 : x
  2. Step 2: Convert to fraction form
    1,648,217/3,422,767 = 3,422,767/x
  3. Step 3: Cross multiply
    1,648,217x = 3,422,767 × 3,422,767
  4. Step 4: Simplify right side
    1,648,217x = 11,715,333,936,289
  5. Step 5: Solve for x
    x = 11,715,333,936,289/1,648,217
  6. Step 6: Final answer
    x = 7,107,883.21

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.