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Finding the Third Proportional to 863,957 and 1,216,110

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Solution

The third proportional to 863,957 and 1,216,110 is: 1,711,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,957 : 1,216,110 = 1,216,110 : x
  2. Step 2: Convert to fraction form
    863,957/1,216,110 = 1,216,110/x
  3. Step 3: Cross multiply
    863,957x = 1,216,110 × 1,216,110
  4. Step 4: Simplify right side
    863,957x = 1,478,923,532,100
  5. Step 5: Solve for x
    x = 1,478,923,532,100/863,957
  6. Step 6: Final answer
    x = 1,711,802.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.