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Finding the Third Proportional to 487,728 and 1,064,832

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Solution

The third proportional to 487,728 and 1,064,832 is: 2,324,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,728 : 1,064,832 = 1,064,832 : x
  2. Step 2: Convert to fraction form
    487,728/1,064,832 = 1,064,832/x
  3. Step 3: Cross multiply
    487,728x = 1,064,832 × 1,064,832
  4. Step 4: Simplify right side
    487,728x = 1,133,867,188,224
  5. Step 5: Solve for x
    x = 1,133,867,188,224/487,728
  6. Step 6: Final answer
    x = 2,324,794.12

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Why These Related Problems?

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