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Finding the Third Proportional to 787,785.75 and 1,147,233.38

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Solution

The third proportional to 787,785.75 and 1,147,233.38 is: 1,670,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,785.75 : 1,147,233.38 = 1,147,233.38 : x
  2. Step 2: Convert to fraction form
    787,785.75/1,147,233.38 = 1,147,233.38/x
  3. Step 3: Cross multiply
    787,785.75x = 1,147,233.38 × 1,147,233.38
  4. Step 4: Simplify right side
    787,785.75x = 1,316,144,416,713.89
  5. Step 5: Solve for x
    x = 1,316,144,416,713.89/787,785.75
  6. Step 6: Final answer
    x = 1,670,688.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.