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Finding the Third Proportional to 766,670.06 and 1,202,748.75

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Solution

The third proportional to 766,670.06 and 1,202,748.75 is: 1,886,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,670.06 : 1,202,748.75 = 1,202,748.75 : x
  2. Step 2: Convert to fraction form
    766,670.06/1,202,748.75 = 1,202,748.75/x
  3. Step 3: Cross multiply
    766,670.06x = 1,202,748.75 × 1,202,748.75
  4. Step 4: Simplify right side
    766,670.06x = 1,446,604,555,626.56
  5. Step 5: Solve for x
    x = 1,446,604,555,626.56/766,670.06
  6. Step 6: Final answer
    x = 1,886,867.15

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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.