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Finding the Third Proportional to 492,597 and 1,061,157.75

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Solution

The third proportional to 492,597 and 1,061,157.75 is: 2,285,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,597 : 1,061,157.75 = 1,061,157.75 : x
  2. Step 2: Convert to fraction form
    492,597/1,061,157.75 = 1,061,157.75/x
  3. Step 3: Cross multiply
    492,597x = 1,061,157.75 × 1,061,157.75
  4. Step 4: Simplify right side
    492,597x = 1,126,055,770,385.06
  5. Step 5: Solve for x
    x = 1,126,055,770,385.06/492,597
  6. Step 6: Final answer
    x = 2,285,957.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.