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Finding the Third Proportional to 517,573 and 1,126,271

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Solution

The third proportional to 517,573 and 1,126,271 is: 2,450,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,573 : 1,126,271 = 1,126,271 : x
  2. Step 2: Convert to fraction form
    517,573/1,126,271 = 1,126,271/x
  3. Step 3: Cross multiply
    517,573x = 1,126,271 × 1,126,271
  4. Step 4: Simplify right side
    517,573x = 1,268,486,365,441
  5. Step 5: Solve for x
    x = 1,268,486,365,441/517,573
  6. Step 6: Final answer
    x = 2,450,835.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.