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Finding the Third Proportional to 862,200 and 1,878,816

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Solution

The third proportional to 862,200 and 1,878,816 is: 4,094,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,200 : 1,878,816 = 1,878,816 : x
  2. Step 2: Convert to fraction form
    862,200/1,878,816 = 1,878,816/x
  3. Step 3: Cross multiply
    862,200x = 1,878,816 × 1,878,816
  4. Step 4: Simplify right side
    862,200x = 3,529,949,561,856
  5. Step 5: Solve for x
    x = 3,529,949,561,856/862,200
  6. Step 6: Final answer
    x = 4,094,119.19

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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.