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Finding the Third Proportional to 783,596 and 1,163,874

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Solution

The third proportional to 783,596 and 1,163,874 is: 1,728,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,596 : 1,163,874 = 1,163,874 : x
  2. Step 2: Convert to fraction form
    783,596/1,163,874 = 1,163,874/x
  3. Step 3: Cross multiply
    783,596x = 1,163,874 × 1,163,874
  4. Step 4: Simplify right side
    783,596x = 1,354,602,687,876
  5. Step 5: Solve for x
    x = 1,354,602,687,876/783,596
  6. Step 6: Final answer
    x = 1,728,700.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.