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Finding the Third Proportional to 827,662 and 1,322,389

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Solution

The third proportional to 827,662 and 1,322,389 is: 2,112,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,662 : 1,322,389 = 1,322,389 : x
  2. Step 2: Convert to fraction form
    827,662/1,322,389 = 1,322,389/x
  3. Step 3: Cross multiply
    827,662x = 1,322,389 × 1,322,389
  4. Step 4: Simplify right side
    827,662x = 1,748,712,667,321
  5. Step 5: Solve for x
    x = 1,748,712,667,321/827,662
  6. Step 6: Final answer
    x = 2,112,834.31

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.