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Finding the Third Proportional to 517,347 and 1,125,819

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Solution

The third proportional to 517,347 and 1,125,819 is: 2,449,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,347 : 1,125,819 = 1,125,819 : x
  2. Step 2: Convert to fraction form
    517,347/1,125,819 = 1,125,819/x
  3. Step 3: Cross multiply
    517,347x = 1,125,819 × 1,125,819
  4. Step 4: Simplify right side
    517,347x = 1,267,468,420,761
  5. Step 5: Solve for x
    x = 1,267,468,420,761/517,347
  6. Step 6: Final answer
    x = 2,449,938.67

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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.