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Finding the Third Proportional to 766,671.75 and 1,202,751

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Solution

The third proportional to 766,671.75 and 1,202,751 is: 1,886,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,671.75 : 1,202,751 = 1,202,751 : x
  2. Step 2: Convert to fraction form
    766,671.75/1,202,751 = 1,202,751/x
  3. Step 3: Cross multiply
    766,671.75x = 1,202,751 × 1,202,751
  4. Step 4: Simplify right side
    766,671.75x = 1,446,609,968,001
  5. Step 5: Solve for x
    x = 1,446,609,968,001/766,671.75
  6. Step 6: Final answer
    x = 1,886,870.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.