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Finding the Third Proportional to 965,376 and 1,446,192

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Solution

The third proportional to 965,376 and 1,446,192 is: 2,166,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,376 : 1,446,192 = 1,446,192 : x
  2. Step 2: Convert to fraction form
    965,376/1,446,192 = 1,446,192/x
  3. Step 3: Cross multiply
    965,376x = 1,446,192 × 1,446,192
  4. Step 4: Simplify right side
    965,376x = 2,091,471,300,864
  5. Step 5: Solve for x
    x = 2,091,471,300,864/965,376
  6. Step 6: Final answer
    x = 2,166,483.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.