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Finding the Third Proportional to 2,019,991 and 4,432,427

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Solution

The third proportional to 2,019,991 and 4,432,427 is: 9,725,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,991 : 4,432,427 = 4,432,427 : x
  2. Step 2: Convert to fraction form
    2,019,991/4,432,427 = 4,432,427/x
  3. Step 3: Cross multiply
    2,019,991x = 4,432,427 × 4,432,427
  4. Step 4: Simplify right side
    2,019,991x = 19,646,409,110,329
  5. Step 5: Solve for x
    x = 19,646,409,110,329/2,019,991
  6. Step 6: Final answer
    x = 9,725,988.44

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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.