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Finding the Third Proportional to 517,575 and 1,126,275

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Solution

The third proportional to 517,575 and 1,126,275 is: 2,450,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,575 : 1,126,275 = 1,126,275 : x
  2. Step 2: Convert to fraction form
    517,575/1,126,275 = 1,126,275/x
  3. Step 3: Cross multiply
    517,575x = 1,126,275 × 1,126,275
  4. Step 4: Simplify right side
    517,575x = 1,268,495,375,625
  5. Step 5: Solve for x
    x = 1,268,495,375,625/517,575
  6. Step 6: Final answer
    x = 2,450,843.60

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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.