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Finding the Third Proportional to 633,796 and 922,086

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Solution

The third proportional to 633,796 and 922,086 is: 1,341,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,796 : 922,086 = 922,086 : x
  2. Step 2: Convert to fraction form
    633,796/922,086 = 922,086/x
  3. Step 3: Cross multiply
    633,796x = 922,086 × 922,086
  4. Step 4: Simplify right side
    633,796x = 850,242,591,396
  5. Step 5: Solve for x
    x = 850,242,591,396/633,796
  6. Step 6: Final answer
    x = 1,341,508.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.