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Finding the Third Proportional to 1,649,345 and 2,322,599

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Solution

The third proportional to 1,649,345 and 2,322,599 is: 3,270,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,345 : 2,322,599 = 2,322,599 : x
  2. Step 2: Convert to fraction form
    1,649,345/2,322,599 = 2,322,599/x
  3. Step 3: Cross multiply
    1,649,345x = 2,322,599 × 2,322,599
  4. Step 4: Simplify right side
    1,649,345x = 5,394,466,114,801
  5. Step 5: Solve for x
    x = 5,394,466,114,801/1,649,345
  6. Step 6: Final answer
    x = 3,270,671.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.