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Finding the Third Proportional to 444,521 and 960,124

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Solution

The third proportional to 444,521 and 960,124 is: 2,073,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,521 : 960,124 = 960,124 : x
  2. Step 2: Convert to fraction form
    444,521/960,124 = 960,124/x
  3. Step 3: Cross multiply
    444,521x = 960,124 × 960,124
  4. Step 4: Simplify right side
    444,521x = 921,838,095,376
  5. Step 5: Solve for x
    x = 921,838,095,376/444,521
  6. Step 6: Final answer
    x = 2,073,778.51

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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.