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Finding the Third Proportional to 535,474 and 1,126,170

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Solution

The third proportional to 535,474 and 1,126,170 is: 2,368,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,474 : 1,126,170 = 1,126,170 : x
  2. Step 2: Convert to fraction form
    535,474/1,126,170 = 1,126,170/x
  3. Step 3: Cross multiply
    535,474x = 1,126,170 × 1,126,170
  4. Step 4: Simplify right side
    535,474x = 1,268,258,868,900
  5. Step 5: Solve for x
    x = 1,268,258,868,900/535,474
  6. Step 6: Final answer
    x = 2,368,478.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.