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Finding the Third Proportional to 754,665 and 1,129,009

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Solution

The third proportional to 754,665 and 1,129,009 is: 1,689,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,665 : 1,129,009 = 1,129,009 : x
  2. Step 2: Convert to fraction form
    754,665/1,129,009 = 1,129,009/x
  3. Step 3: Cross multiply
    754,665x = 1,129,009 × 1,129,009
  4. Step 4: Simplify right side
    754,665x = 1,274,661,322,081
  5. Step 5: Solve for x
    x = 1,274,661,322,081/754,665
  6. Step 6: Final answer
    x = 1,689,042.58

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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.