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Finding the Third Proportional to 444,022 and 670,028

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Solution

The third proportional to 444,022 and 670,028 is: 1,011,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,022 : 670,028 = 670,028 : x
  2. Step 2: Convert to fraction form
    444,022/670,028 = 670,028/x
  3. Step 3: Cross multiply
    444,022x = 670,028 × 670,028
  4. Step 4: Simplify right side
    444,022x = 448,937,520,784
  5. Step 5: Solve for x
    x = 448,937,520,784/444,022
  6. Step 6: Final answer
    x = 1,011,070.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.