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Finding the Third Proportional to 2,019,613 and 4,322,911

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Solution

The third proportional to 2,019,613 and 4,322,911 is: 9,253,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,613 : 4,322,911 = 4,322,911 : x
  2. Step 2: Convert to fraction form
    2,019,613/4,322,911 = 4,322,911/x
  3. Step 3: Cross multiply
    2,019,613x = 4,322,911 × 4,322,911
  4. Step 4: Simplify right side
    2,019,613x = 18,687,559,513,921
  5. Step 5: Solve for x
    x = 18,687,559,513,921/2,019,613
  6. Step 6: Final answer
    x = 9,253,039.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.