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Finding the Third Proportional to 448,800 and 960,642

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Solution

The third proportional to 448,800 and 960,642 is: 2,056,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,800 : 960,642 = 960,642 : x
  2. Step 2: Convert to fraction form
    448,800/960,642 = 960,642/x
  3. Step 3: Cross multiply
    448,800x = 960,642 × 960,642
  4. Step 4: Simplify right side
    448,800x = 922,833,052,164
  5. Step 5: Solve for x
    x = 922,833,052,164/448,800
  6. Step 6: Final answer
    x = 2,056,223.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.