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Finding the Third Proportional to 905,898 and 1,974,563

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Solution

The third proportional to 905,898 and 1,974,563 is: 4,303,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,898 : 1,974,563 = 1,974,563 : x
  2. Step 2: Convert to fraction form
    905,898/1,974,563 = 1,974,563/x
  3. Step 3: Cross multiply
    905,898x = 1,974,563 × 1,974,563
  4. Step 4: Simplify right side
    905,898x = 3,898,899,040,969
  5. Step 5: Solve for x
    x = 3,898,899,040,969/905,898
  6. Step 6: Final answer
    x = 4,303,905.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.