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Finding the Third Proportional to 852,872 and 1,838,596

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Solution

The third proportional to 852,872 and 1,838,596 is: 3,963,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,872 : 1,838,596 = 1,838,596 : x
  2. Step 2: Convert to fraction form
    852,872/1,838,596 = 1,838,596/x
  3. Step 3: Cross multiply
    852,872x = 1,838,596 × 1,838,596
  4. Step 4: Simplify right side
    852,872x = 3,380,435,251,216
  5. Step 5: Solve for x
    x = 3,380,435,251,216/852,872
  6. Step 6: Final answer
    x = 3,963,590.38

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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.