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Finding the Third Proportional to 517,585 and 1,097,378

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Solution

The third proportional to 517,585 and 1,097,378 is: 2,326,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,585 : 1,097,378 = 1,097,378 : x
  2. Step 2: Convert to fraction form
    517,585/1,097,378 = 1,097,378/x
  3. Step 3: Cross multiply
    517,585x = 1,097,378 × 1,097,378
  4. Step 4: Simplify right side
    517,585x = 1,204,238,474,884
  5. Step 5: Solve for x
    x = 1,204,238,474,884/517,585
  6. Step 6: Final answer
    x = 2,326,648.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.