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Finding the Third Proportional to 600,194 and 929,042

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Solution

The third proportional to 600,194 and 929,042 is: 1,438,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,194 : 929,042 = 929,042 : x
  2. Step 2: Convert to fraction form
    600,194/929,042 = 929,042/x
  3. Step 3: Cross multiply
    600,194x = 929,042 × 929,042
  4. Step 4: Simplify right side
    600,194x = 863,119,037,764
  5. Step 5: Solve for x
    x = 863,119,037,764/600,194
  6. Step 6: Final answer
    x = 1,438,066.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.