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Finding the Third Proportional to 444,701 and 972,441

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Solution

The third proportional to 444,701 and 972,441 is: 2,126,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,701 : 972,441 = 972,441 : x
  2. Step 2: Convert to fraction form
    444,701/972,441 = 972,441/x
  3. Step 3: Cross multiply
    444,701x = 972,441 × 972,441
  4. Step 4: Simplify right side
    444,701x = 945,641,498,481
  5. Step 5: Solve for x
    x = 945,641,498,481/444,701
  6. Step 6: Final answer
    x = 2,126,465.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.