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Finding the Third Proportional to 517,347 and 1,130,922

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Solution

The third proportional to 517,347 and 1,130,922 is: 2,472,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,347 : 1,130,922 = 1,130,922 : x
  2. Step 2: Convert to fraction form
    517,347/1,130,922 = 1,130,922/x
  3. Step 3: Cross multiply
    517,347x = 1,130,922 × 1,130,922
  4. Step 4: Simplify right side
    517,347x = 1,278,984,570,084
  5. Step 5: Solve for x
    x = 1,278,984,570,084/517,347
  6. Step 6: Final answer
    x = 2,472,198.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.