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Finding the Third Proportional to 671,954 and 1,040,435

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Solution

The third proportional to 671,954 and 1,040,435 is: 1,610,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,954 : 1,040,435 = 1,040,435 : x
  2. Step 2: Convert to fraction form
    671,954/1,040,435 = 1,040,435/x
  3. Step 3: Cross multiply
    671,954x = 1,040,435 × 1,040,435
  4. Step 4: Simplify right side
    671,954x = 1,082,504,989,225
  5. Step 5: Solve for x
    x = 1,082,504,989,225/671,954
  6. Step 6: Final answer
    x = 1,610,980.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.