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Finding the Third Proportional to 494,052 and 1,005,600

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Solution

The third proportional to 494,052 and 1,005,600 is: 2,046,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,052 : 1,005,600 = 1,005,600 : x
  2. Step 2: Convert to fraction form
    494,052/1,005,600 = 1,005,600/x
  3. Step 3: Cross multiply
    494,052x = 1,005,600 × 1,005,600
  4. Step 4: Simplify right side
    494,052x = 1,011,231,360,000
  5. Step 5: Solve for x
    x = 1,011,231,360,000/494,052
  6. Step 6: Final answer
    x = 2,046,811.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.