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Finding the Third Proportional to 2,011,693 and 4,311,021

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Solution

The third proportional to 2,011,693 and 4,311,021 is: 9,238,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,693 : 4,311,021 = 4,311,021 : x
  2. Step 2: Convert to fraction form
    2,011,693/4,311,021 = 4,311,021/x
  3. Step 3: Cross multiply
    2,011,693x = 4,311,021 × 4,311,021
  4. Step 4: Simplify right side
    2,011,693x = 18,584,902,062,441
  5. Step 5: Solve for x
    x = 18,584,902,062,441/2,011,693
  6. Step 6: Final answer
    x = 9,238,438.50

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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.