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Finding the Third Proportional to 1,327,849 and 2,849,217

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Solution

The third proportional to 1,327,849 and 2,849,217 is: 6,113,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,849 : 2,849,217 = 2,849,217 : x
  2. Step 2: Convert to fraction form
    1,327,849/2,849,217 = 2,849,217/x
  3. Step 3: Cross multiply
    1,327,849x = 2,849,217 × 2,849,217
  4. Step 4: Simplify right side
    1,327,849x = 8,118,037,513,089
  5. Step 5: Solve for x
    x = 8,118,037,513,089/1,327,849
  6. Step 6: Final answer
    x = 6,113,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.