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Finding the Third Proportional to 828,052 and 1,171,932

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Solution

The third proportional to 828,052 and 1,171,932 is: 1,658,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,052 : 1,171,932 = 1,171,932 : x
  2. Step 2: Convert to fraction form
    828,052/1,171,932 = 1,171,932/x
  3. Step 3: Cross multiply
    828,052x = 1,171,932 × 1,171,932
  4. Step 4: Simplify right side
    828,052x = 1,373,424,612,624
  5. Step 5: Solve for x
    x = 1,373,424,612,624/828,052
  6. Step 6: Final answer
    x = 1,658,621.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.