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Finding the Third Proportional to 964,361 and 2,100,163

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Solution

The third proportional to 964,361 and 2,100,163 is: 4,573,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,361 : 2,100,163 = 2,100,163 : x
  2. Step 2: Convert to fraction form
    964,361/2,100,163 = 2,100,163/x
  3. Step 3: Cross multiply
    964,361x = 2,100,163 × 2,100,163
  4. Step 4: Simplify right side
    964,361x = 4,410,684,626,569
  5. Step 5: Solve for x
    x = 4,410,684,626,569/964,361
  6. Step 6: Final answer
    x = 4,573,686.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.