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Finding the Third Proportional to 1,579,923 and 3,459,870

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Solution

The third proportional to 1,579,923 and 3,459,870 is: 7,576,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,923 : 3,459,870 = 3,459,870 : x
  2. Step 2: Convert to fraction form
    1,579,923/3,459,870 = 3,459,870/x
  3. Step 3: Cross multiply
    1,579,923x = 3,459,870 × 3,459,870
  4. Step 4: Simplify right side
    1,579,923x = 11,970,700,416,900
  5. Step 5: Solve for x
    x = 11,970,700,416,900/1,579,923
  6. Step 6: Final answer
    x = 7,576,761.92

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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.