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Finding the Third Proportional to 444,526 and 960,132

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Solution

The third proportional to 444,526 and 960,132 is: 2,073,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,526 : 960,132 = 960,132 : x
  2. Step 2: Convert to fraction form
    444,526/960,132 = 960,132/x
  3. Step 3: Cross multiply
    444,526x = 960,132 × 960,132
  4. Step 4: Simplify right side
    444,526x = 921,853,457,424
  5. Step 5: Solve for x
    x = 921,853,457,424/444,526
  6. Step 6: Final answer
    x = 2,073,789.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.