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Finding the Third Proportional to 899,124 and 1,963,920

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Solution

The third proportional to 899,124 and 1,963,920 is: 4,289,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,124 : 1,963,920 = 1,963,920 : x
  2. Step 2: Convert to fraction form
    899,124/1,963,920 = 1,963,920/x
  3. Step 3: Cross multiply
    899,124x = 1,963,920 × 1,963,920
  4. Step 4: Simplify right side
    899,124x = 3,856,981,766,400
  5. Step 5: Solve for x
    x = 3,856,981,766,400/899,124
  6. Step 6: Final answer
    x = 4,289,710.61

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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.