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Finding the Third Proportional to 665,286 and 1,042,436

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Solution

The third proportional to 665,286 and 1,042,436 is: 1,633,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,286 : 1,042,436 = 1,042,436 : x
  2. Step 2: Convert to fraction form
    665,286/1,042,436 = 1,042,436/x
  3. Step 3: Cross multiply
    665,286x = 1,042,436 × 1,042,436
  4. Step 4: Simplify right side
    665,286x = 1,086,672,814,096
  5. Step 5: Solve for x
    x = 1,086,672,814,096/665,286
  6. Step 6: Final answer
    x = 1,633,391.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.