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Finding the Third Proportional to 863,990 and 1,163,103

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Solution

The third proportional to 863,990 and 1,163,103 is: 1,565,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,990 : 1,163,103 = 1,163,103 : x
  2. Step 2: Convert to fraction form
    863,990/1,163,103 = 1,163,103/x
  3. Step 3: Cross multiply
    863,990x = 1,163,103 × 1,163,103
  4. Step 4: Simplify right side
    863,990x = 1,352,808,588,609
  5. Step 5: Solve for x
    x = 1,352,808,588,609/863,990
  6. Step 6: Final answer
    x = 1,565,768.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.