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Finding the Third Proportional to 964,961 and 1,419,372

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Solution

The third proportional to 964,961 and 1,419,372 is: 2,087,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,961 : 1,419,372 = 1,419,372 : x
  2. Step 2: Convert to fraction form
    964,961/1,419,372 = 1,419,372/x
  3. Step 3: Cross multiply
    964,961x = 1,419,372 × 1,419,372
  4. Step 4: Simplify right side
    964,961x = 2,014,616,874,384
  5. Step 5: Solve for x
    x = 2,014,616,874,384/964,961
  6. Step 6: Final answer
    x = 2,087,770.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.