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Finding the Third Proportional to 862,832 and 1,306,312

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Solution

The third proportional to 862,832 and 1,306,312 is: 1,977,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,832 : 1,306,312 = 1,306,312 : x
  2. Step 2: Convert to fraction form
    862,832/1,306,312 = 1,306,312/x
  3. Step 3: Cross multiply
    862,832x = 1,306,312 × 1,306,312
  4. Step 4: Simplify right side
    862,832x = 1,706,451,041,344
  5. Step 5: Solve for x
    x = 1,706,451,041,344/862,832
  6. Step 6: Final answer
    x = 1,977,732.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.