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Finding the Third Proportional to 1,822,001 and 4,218,021

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Solution

The third proportional to 1,822,001 and 4,218,021 is: 9,764,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,001 : 4,218,021 = 4,218,021 : x
  2. Step 2: Convert to fraction form
    1,822,001/4,218,021 = 4,218,021/x
  3. Step 3: Cross multiply
    1,822,001x = 4,218,021 × 4,218,021
  4. Step 4: Simplify right side
    1,822,001x = 17,791,701,156,441
  5. Step 5: Solve for x
    x = 17,791,701,156,441/1,822,001
  6. Step 6: Final answer
    x = 9,764,923.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.