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Finding the Third Proportional to 637,132 and 963,860

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Solution

The third proportional to 637,132 and 963,860 is: 1,458,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,132 : 963,860 = 963,860 : x
  2. Step 2: Convert to fraction form
    637,132/963,860 = 963,860/x
  3. Step 3: Cross multiply
    637,132x = 963,860 × 963,860
  4. Step 4: Simplify right side
    637,132x = 929,026,099,600
  5. Step 5: Solve for x
    x = 929,026,099,600/637,132
  6. Step 6: Final answer
    x = 1,458,137.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.