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Finding the Third Proportional to 1,670,810 and 2,690,249

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Solution

The third proportional to 1,670,810 and 2,690,249 is: 4,331,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,810 : 2,690,249 = 2,690,249 : x
  2. Step 2: Convert to fraction form
    1,670,810/2,690,249 = 2,690,249/x
  3. Step 3: Cross multiply
    1,670,810x = 2,690,249 × 2,690,249
  4. Step 4: Simplify right side
    1,670,810x = 7,237,439,682,001
  5. Step 5: Solve for x
    x = 7,237,439,682,001/1,670,810
  6. Step 6: Final answer
    x = 4,331,695.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.