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Finding the Third Proportional to 483,860 and 969,664

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Solution

The third proportional to 483,860 and 969,664 is: 1,943,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,860 : 969,664 = 969,664 : x
  2. Step 2: Convert to fraction form
    483,860/969,664 = 969,664/x
  3. Step 3: Cross multiply
    483,860x = 969,664 × 969,664
  4. Step 4: Simplify right side
    483,860x = 940,248,272,896
  5. Step 5: Solve for x
    x = 940,248,272,896/483,860
  6. Step 6: Final answer
    x = 1,943,223.81

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.