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Finding the Third Proportional to 605,727 and 886,557

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Solution

The third proportional to 605,727 and 886,557 is: 1,297,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,727 : 886,557 = 886,557 : x
  2. Step 2: Convert to fraction form
    605,727/886,557 = 886,557/x
  3. Step 3: Cross multiply
    605,727x = 886,557 × 886,557
  4. Step 4: Simplify right side
    605,727x = 785,983,314,249
  5. Step 5: Solve for x
    x = 785,983,314,249/605,727
  6. Step 6: Final answer
    x = 1,297,586.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.