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Finding the Third Proportional to 517,606 and 1,056,339

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Solution

The third proportional to 517,606 and 1,056,339 is: 2,155,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,606 : 1,056,339 = 1,056,339 : x
  2. Step 2: Convert to fraction form
    517,606/1,056,339 = 1,056,339/x
  3. Step 3: Cross multiply
    517,606x = 1,056,339 × 1,056,339
  4. Step 4: Simplify right side
    517,606x = 1,115,852,082,921
  5. Step 5: Solve for x
    x = 1,115,852,082,921/517,606
  6. Step 6: Final answer
    x = 2,155,794.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.