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Finding the Third Proportional to 412,858.13 and 836,807.63

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Solution

The third proportional to 412,858.13 and 836,807.63 is: 1,696,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,858.13 : 836,807.63 = 836,807.63 : x
  2. Step 2: Convert to fraction form
    412,858.13/836,807.63 = 836,807.63/x
  3. Step 3: Cross multiply
    412,858.13x = 836,807.63 × 836,807.63
  4. Step 4: Simplify right side
    412,858.13x = 700,247,001,258.14
  5. Step 5: Solve for x
    x = 700,247,001,258.14/412,858.13
  6. Step 6: Final answer
    x = 1,696,095.97

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.