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Finding the Third Proportional to 826,314 and 1,751,844

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Solution

The third proportional to 826,314 and 1,751,844 is: 3,714,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,314 : 1,751,844 = 1,751,844 : x
  2. Step 2: Convert to fraction form
    826,314/1,751,844 = 1,751,844/x
  3. Step 3: Cross multiply
    826,314x = 1,751,844 × 1,751,844
  4. Step 4: Simplify right side
    826,314x = 3,068,957,400,336
  5. Step 5: Solve for x
    x = 3,068,957,400,336/826,314
  6. Step 6: Final answer
    x = 3,714,032.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.