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Finding the Third Proportional to 749,760 and 1,146,912

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Solution

The third proportional to 749,760 and 1,146,912 is: 1,754,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,760 : 1,146,912 = 1,146,912 : x
  2. Step 2: Convert to fraction form
    749,760/1,146,912 = 1,146,912/x
  3. Step 3: Cross multiply
    749,760x = 1,146,912 × 1,146,912
  4. Step 4: Simplify right side
    749,760x = 1,315,407,135,744
  5. Step 5: Solve for x
    x = 1,315,407,135,744/749,760
  6. Step 6: Final answer
    x = 1,754,437.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.