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Finding the Third Proportional to 445,032 and 986,156

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Solution

The third proportional to 445,032 and 986,156 is: 2,185,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,032 : 986,156 = 986,156 : x
  2. Step 2: Convert to fraction form
    445,032/986,156 = 986,156/x
  3. Step 3: Cross multiply
    445,032x = 986,156 × 986,156
  4. Step 4: Simplify right side
    445,032x = 972,503,656,336
  5. Step 5: Solve for x
    x = 972,503,656,336/445,032
  6. Step 6: Final answer
    x = 2,185,244.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.