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Finding the Third Proportional to 2,665,988 and 3,809,697

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Solution

The third proportional to 2,665,988 and 3,809,697 is: 5,444,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,988 : 3,809,697 = 3,809,697 : x
  2. Step 2: Convert to fraction form
    2,665,988/3,809,697 = 3,809,697/x
  3. Step 3: Cross multiply
    2,665,988x = 3,809,697 × 3,809,697
  4. Step 4: Simplify right side
    2,665,988x = 14,513,791,231,809
  5. Step 5: Solve for x
    x = 14,513,791,231,809/2,665,988
  6. Step 6: Final answer
    x = 5,444,057.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.