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Finding the Third Proportional to 827,660 and 1,322,386

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Solution

The third proportional to 827,660 and 1,322,386 is: 2,112,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,660 : 1,322,386 = 1,322,386 : x
  2. Step 2: Convert to fraction form
    827,660/1,322,386 = 1,322,386/x
  3. Step 3: Cross multiply
    827,660x = 1,322,386 × 1,322,386
  4. Step 4: Simplify right side
    827,660x = 1,748,704,732,996
  5. Step 5: Solve for x
    x = 1,748,704,732,996/827,660
  6. Step 6: Final answer
    x = 2,112,829.83

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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.