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Finding the Third Proportional to 676,903 and 1,470,517

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Solution

The third proportional to 676,903 and 1,470,517 is: 3,194,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,903 : 1,470,517 = 1,470,517 : x
  2. Step 2: Convert to fraction form
    676,903/1,470,517 = 1,470,517/x
  3. Step 3: Cross multiply
    676,903x = 1,470,517 × 1,470,517
  4. Step 4: Simplify right side
    676,903x = 2,162,420,247,289
  5. Step 5: Solve for x
    x = 2,162,420,247,289/676,903
  6. Step 6: Final answer
    x = 3,194,579.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.