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Finding the Third Proportional to 517,096 and 1,078,472

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Solution

The third proportional to 517,096 and 1,078,472 is: 2,249,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,096 : 1,078,472 = 1,078,472 : x
  2. Step 2: Convert to fraction form
    517,096/1,078,472 = 1,078,472/x
  3. Step 3: Cross multiply
    517,096x = 1,078,472 × 1,078,472
  4. Step 4: Simplify right side
    517,096x = 1,163,101,854,784
  5. Step 5: Solve for x
    x = 1,163,101,854,784/517,096
  6. Step 6: Final answer
    x = 2,249,295.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.