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Finding the Third Proportional to 461,563 and 969,777

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Solution

The third proportional to 461,563 and 969,777 is: 2,037,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,563 : 969,777 = 969,777 : x
  2. Step 2: Convert to fraction form
    461,563/969,777 = 969,777/x
  3. Step 3: Cross multiply
    461,563x = 969,777 × 969,777
  4. Step 4: Simplify right side
    461,563x = 940,467,429,729
  5. Step 5: Solve for x
    x = 940,467,429,729/461,563
  6. Step 6: Final answer
    x = 2,037,571.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.