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Finding the Third Proportional to 444,506 and 960,092

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Solution

The third proportional to 444,506 and 960,092 is: 2,073,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,506 : 960,092 = 960,092 : x
  2. Step 2: Convert to fraction form
    444,506/960,092 = 960,092/x
  3. Step 3: Cross multiply
    444,506x = 960,092 × 960,092
  4. Step 4: Simplify right side
    444,506x = 921,776,648,464
  5. Step 5: Solve for x
    x = 921,776,648,464/444,506
  6. Step 6: Final answer
    x = 2,073,710.25

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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.