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Finding the Third Proportional to 863,979 and 1,163,084

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Solution

The third proportional to 863,979 and 1,163,084 is: 1,565,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,979 : 1,163,084 = 1,163,084 : x
  2. Step 2: Convert to fraction form
    863,979/1,163,084 = 1,163,084/x
  3. Step 3: Cross multiply
    863,979x = 1,163,084 × 1,163,084
  4. Step 4: Simplify right side
    863,979x = 1,352,764,391,056
  5. Step 5: Solve for x
    x = 1,352,764,391,056/863,979
  6. Step 6: Final answer
    x = 1,565,737.58

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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.