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Finding the Third Proportional to 852,861 and 1,838,576

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Solution

The third proportional to 852,861 and 1,838,576 is: 3,963,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,861 : 1,838,576 = 1,838,576 : x
  2. Step 2: Convert to fraction form
    852,861/1,838,576 = 1,838,576/x
  3. Step 3: Cross multiply
    852,861x = 1,838,576 × 1,838,576
  4. Step 4: Simplify right side
    852,861x = 3,380,361,707,776
  5. Step 5: Solve for x
    x = 3,380,361,707,776/852,861
  6. Step 6: Final answer
    x = 3,963,555.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.