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Finding the Third Proportional to 448,702 and 963,175

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Solution

The third proportional to 448,702 and 963,175 is: 2,067,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,702 : 963,175 = 963,175 : x
  2. Step 2: Convert to fraction form
    448,702/963,175 = 963,175/x
  3. Step 3: Cross multiply
    448,702x = 963,175 × 963,175
  4. Step 4: Simplify right side
    448,702x = 927,706,080,625
  5. Step 5: Solve for x
    x = 927,706,080,625/448,702
  6. Step 6: Final answer
    x = 2,067,532.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.