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Finding the Third Proportional to 605,569 and 896,626

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Solution

The third proportional to 605,569 and 896,626 is: 1,327,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,569 : 896,626 = 896,626 : x
  2. Step 2: Convert to fraction form
    605,569/896,626 = 896,626/x
  3. Step 3: Cross multiply
    605,569x = 896,626 × 896,626
  4. Step 4: Simplify right side
    605,569x = 803,938,183,876
  5. Step 5: Solve for x
    x = 803,938,183,876/605,569
  6. Step 6: Final answer
    x = 1,327,574.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.