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Finding the Third Proportional to 444,614 and 973,952

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Solution

The third proportional to 444,614 and 973,952 is: 2,133,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,614 : 973,952 = 973,952 : x
  2. Step 2: Convert to fraction form
    444,614/973,952 = 973,952/x
  3. Step 3: Cross multiply
    444,614x = 973,952 × 973,952
  4. Step 4: Simplify right side
    444,614x = 948,582,498,304
  5. Step 5: Solve for x
    x = 948,582,498,304/444,614
  6. Step 6: Final answer
    x = 2,133,496.69

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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.