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Finding the Third Proportional to 1,002,625 and 1,645,903

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Solution

The third proportional to 1,002,625 and 1,645,903 is: 2,701,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,625 : 1,645,903 = 1,645,903 : x
  2. Step 2: Convert to fraction form
    1,002,625/1,645,903 = 1,645,903/x
  3. Step 3: Cross multiply
    1,002,625x = 1,645,903 × 1,645,903
  4. Step 4: Simplify right side
    1,002,625x = 2,708,996,685,409
  5. Step 5: Solve for x
    x = 2,708,996,685,409/1,002,625
  6. Step 6: Final answer
    x = 2,701,904.19

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.