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Finding the Third Proportional to 770,856.75 and 1,131,089.06

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Solution

The third proportional to 770,856.75 and 1,131,089.06 is: 1,659,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,856.75 : 1,131,089.06 = 1,131,089.06 : x
  2. Step 2: Convert to fraction form
    770,856.75/1,131,089.06 = 1,131,089.06/x
  3. Step 3: Cross multiply
    770,856.75x = 1,131,089.06 × 1,131,089.06
  4. Step 4: Simplify right side
    770,856.75x = 1,279,362,467,307.13
  5. Step 5: Solve for x
    x = 1,279,362,467,307.13/770,856.75
  6. Step 6: Final answer
    x = 1,659,663.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.