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Finding the Third Proportional to 448,158 and 965,436

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Solution

The third proportional to 448,158 and 965,436 is: 2,079,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,158 : 965,436 = 965,436 : x
  2. Step 2: Convert to fraction form
    448,158/965,436 = 965,436/x
  3. Step 3: Cross multiply
    448,158x = 965,436 × 965,436
  4. Step 4: Simplify right side
    448,158x = 932,066,670,096
  5. Step 5: Solve for x
    x = 932,066,670,096/448,158
  6. Step 6: Final answer
    x = 2,079,772.47

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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.