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Finding the Third Proportional to 757,948 and 1,144,819

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Solution

The third proportional to 757,948 and 1,144,819 is: 1,729,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,948 : 1,144,819 = 1,144,819 : x
  2. Step 2: Convert to fraction form
    757,948/1,144,819 = 1,144,819/x
  3. Step 3: Cross multiply
    757,948x = 1,144,819 × 1,144,819
  4. Step 4: Simplify right side
    757,948x = 1,310,610,542,761
  5. Step 5: Solve for x
    x = 1,310,610,542,761/757,948
  6. Step 6: Final answer
    x = 1,729,156.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.