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Finding the Third Proportional to 1,859,862 and 3,942,912

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Solution

The third proportional to 1,859,862 and 3,942,912 is: 8,358,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859,862 : 3,942,912 = 3,942,912 : x
  2. Step 2: Convert to fraction form
    1,859,862/3,942,912 = 3,942,912/x
  3. Step 3: Cross multiply
    1,859,862x = 3,942,912 × 3,942,912
  4. Step 4: Simplify right side
    1,859,862x = 15,546,555,039,744
  5. Step 5: Solve for x
    x = 15,546,555,039,744/1,859,862
  6. Step 6: Final answer
    x = 8,358,983.11

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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.