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Finding the Third Proportional to 1,825,119.84 and 4,225,041

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Solution

The third proportional to 1,825,119.84 and 4,225,041 is: 9,780,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,119.84 : 4,225,041 = 4,225,041 : x
  2. Step 2: Convert to fraction form
    1,825,119.84/4,225,041 = 4,225,041/x
  3. Step 3: Cross multiply
    1,825,119.84x = 4,225,041 × 4,225,041
  4. Step 4: Simplify right side
    1,825,119.84x = 17,850,971,451,681
  5. Step 5: Solve for x
    x = 17,850,971,451,681/1,825,119.84
  6. Step 6: Final answer
    x = 9,780,711.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.