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Finding the Third Proportional to 446,276 and 965,068

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Solution

The third proportional to 446,276 and 965,068 is: 2,086,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,276 : 965,068 = 965,068 : x
  2. Step 2: Convert to fraction form
    446,276/965,068 = 965,068/x
  3. Step 3: Cross multiply
    446,276x = 965,068 × 965,068
  4. Step 4: Simplify right side
    446,276x = 931,356,244,624
  5. Step 5: Solve for x
    x = 931,356,244,624/446,276
  6. Step 6: Final answer
    x = 2,086,951.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.