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Finding the Third Proportional to 783,592 and 1,163,868

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Solution

The third proportional to 783,592 and 1,163,868 is: 1,728,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,592 : 1,163,868 = 1,163,868 : x
  2. Step 2: Convert to fraction form
    783,592/1,163,868 = 1,163,868/x
  3. Step 3: Cross multiply
    783,592x = 1,163,868 × 1,163,868
  4. Step 4: Simplify right side
    783,592x = 1,354,588,721,424
  5. Step 5: Solve for x
    x = 1,354,588,721,424/783,592
  6. Step 6: Final answer
    x = 1,728,691.36

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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.