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Finding the Third Proportional to 893,926.13 and 1,147,785.19

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Solution

The third proportional to 893,926.13 and 1,147,785.19 is: 1,473,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,926.13 : 1,147,785.19 = 1,147,785.19 : x
  2. Step 2: Convert to fraction form
    893,926.13/1,147,785.19 = 1,147,785.19/x
  3. Step 3: Cross multiply
    893,926.13x = 1,147,785.19 × 1,147,785.19
  4. Step 4: Simplify right side
    893,926.13x = 1,317,410,836,644.41
  5. Step 5: Solve for x
    x = 1,317,410,836,644.41/893,926.13
  6. Step 6: Final answer
    x = 1,473,735.69

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.