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Finding the Third Proportional to 608,896 and 927,699

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Solution

The third proportional to 608,896 and 927,699 is: 1,413,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,896 : 927,699 = 927,699 : x
  2. Step 2: Convert to fraction form
    608,896/927,699 = 927,699/x
  3. Step 3: Cross multiply
    608,896x = 927,699 × 927,699
  4. Step 4: Simplify right side
    608,896x = 860,625,434,601
  5. Step 5: Solve for x
    x = 860,625,434,601/608,896
  6. Step 6: Final answer
    x = 1,413,419.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.