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Finding the Third Proportional to 852,384 and 1,870,656

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Solution

The third proportional to 852,384 and 1,870,656 is: 4,105,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,384 : 1,870,656 = 1,870,656 : x
  2. Step 2: Convert to fraction form
    852,384/1,870,656 = 1,870,656/x
  3. Step 3: Cross multiply
    852,384x = 1,870,656 × 1,870,656
  4. Step 4: Simplify right side
    852,384x = 3,499,353,870,336
  5. Step 5: Solve for x
    x = 3,499,353,870,336/852,384
  6. Step 6: Final answer
    x = 4,105,372.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.