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Finding the Third Proportional to 653,966 and 1,396,636

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Solution

The third proportional to 653,966 and 1,396,636 is: 2,982,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,966 : 1,396,636 = 1,396,636 : x
  2. Step 2: Convert to fraction form
    653,966/1,396,636 = 1,396,636/x
  3. Step 3: Cross multiply
    653,966x = 1,396,636 × 1,396,636
  4. Step 4: Simplify right side
    653,966x = 1,950,592,116,496
  5. Step 5: Solve for x
    x = 1,950,592,116,496/653,966
  6. Step 6: Final answer
    x = 2,982,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.