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Finding the Third Proportional to 691,898 and 1,504,966

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Solution

The third proportional to 691,898 and 1,504,966 is: 3,273,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,898 : 1,504,966 = 1,504,966 : x
  2. Step 2: Convert to fraction form
    691,898/1,504,966 = 1,504,966/x
  3. Step 3: Cross multiply
    691,898x = 1,504,966 × 1,504,966
  4. Step 4: Simplify right side
    691,898x = 2,264,922,661,156
  5. Step 5: Solve for x
    x = 2,264,922,661,156/691,898
  6. Step 6: Final answer
    x = 3,273,492.13

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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.