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Finding the Third Proportional to 2,065,690 and 4,474,412

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Solution

The third proportional to 2,065,690 and 4,474,412 is: 9,691,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,690 : 4,474,412 = 4,474,412 : x
  2. Step 2: Convert to fraction form
    2,065,690/4,474,412 = 4,474,412/x
  3. Step 3: Cross multiply
    2,065,690x = 4,474,412 × 4,474,412
  4. Step 4: Simplify right side
    2,065,690x = 20,020,362,745,744
  5. Step 5: Solve for x
    x = 20,020,362,745,744/2,065,690
  6. Step 6: Final answer
    x = 9,691,852.48

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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.