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Finding the Third Proportional to 494,106 and 1,078,569

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Solution

The third proportional to 494,106 and 1,078,569 is: 2,354,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,106 : 1,078,569 = 1,078,569 : x
  2. Step 2: Convert to fraction form
    494,106/1,078,569 = 1,078,569/x
  3. Step 3: Cross multiply
    494,106x = 1,078,569 × 1,078,569
  4. Step 4: Simplify right side
    494,106x = 1,163,311,087,761
  5. Step 5: Solve for x
    x = 1,163,311,087,761/494,106
  6. Step 6: Final answer
    x = 2,354,375.55

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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.