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Finding the Third Proportional to 632,516 and 985,062

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Solution

The third proportional to 632,516 and 985,062 is: 1,534,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,516 : 985,062 = 985,062 : x
  2. Step 2: Convert to fraction form
    632,516/985,062 = 985,062/x
  3. Step 3: Cross multiply
    632,516x = 985,062 × 985,062
  4. Step 4: Simplify right side
    632,516x = 970,347,143,844
  5. Step 5: Solve for x
    x = 970,347,143,844/632,516
  6. Step 6: Final answer
    x = 1,534,106.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.