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Finding the Third Proportional to 863,156 and 2,016,055

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Solution

The third proportional to 863,156 and 2,016,055 is: 4,708,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,156 : 2,016,055 = 2,016,055 : x
  2. Step 2: Convert to fraction form
    863,156/2,016,055 = 2,016,055/x
  3. Step 3: Cross multiply
    863,156x = 2,016,055 × 2,016,055
  4. Step 4: Simplify right side
    863,156x = 4,064,477,763,025
  5. Step 5: Solve for x
    x = 4,064,477,763,025/863,156
  6. Step 6: Final answer
    x = 4,708,856.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.