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Finding the Third Proportional to 517,216 and 1,096,624

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Solution

The third proportional to 517,216 and 1,096,624 is: 2,325,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,216 : 1,096,624 = 1,096,624 : x
  2. Step 2: Convert to fraction form
    517,216/1,096,624 = 1,096,624/x
  3. Step 3: Cross multiply
    517,216x = 1,096,624 × 1,096,624
  4. Step 4: Simplify right side
    517,216x = 1,202,584,197,376
  5. Step 5: Solve for x
    x = 1,202,584,197,376/517,216
  6. Step 6: Final answer
    x = 2,325,110.20

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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.