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Finding the Third Proportional to 863,145.75 and 2,016,033.38

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Solution

The third proportional to 863,145.75 and 2,016,033.38 is: 4,708,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,145.75 : 2,016,033.38 = 2,016,033.38 : x
  2. Step 2: Convert to fraction form
    863,145.75/2,016,033.38 = 2,016,033.38/x
  3. Step 3: Cross multiply
    863,145.75x = 2,016,033.38 × 2,016,033.38
  4. Step 4: Simplify right side
    863,145.75x = 4,064,390,569,113.89
  5. Step 5: Solve for x
    x = 4,064,390,569,113.89/863,145.75
  6. Step 6: Final answer
    x = 4,708,811.43

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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.