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Finding the Third Proportional to 825,593 and 1,162,614

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Solution

The third proportional to 825,593 and 1,162,614 is: 1,637,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,593 : 1,162,614 = 1,162,614 : x
  2. Step 2: Convert to fraction form
    825,593/1,162,614 = 1,162,614/x
  3. Step 3: Cross multiply
    825,593x = 1,162,614 × 1,162,614
  4. Step 4: Simplify right side
    825,593x = 1,351,671,312,996
  5. Step 5: Solve for x
    x = 1,351,671,312,996/825,593
  6. Step 6: Final answer
    x = 1,637,212.66

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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.