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Finding the Third Proportional to 657,876.94 and 1,367,467.31

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Solution

The third proportional to 657,876.94 and 1,367,467.31 is: 2,842,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,876.94 : 1,367,467.31 = 1,367,467.31 : x
  2. Step 2: Convert to fraction form
    657,876.94/1,367,467.31 = 1,367,467.31/x
  3. Step 3: Cross multiply
    657,876.94x = 1,367,467.31 × 1,367,467.31
  4. Step 4: Simplify right side
    657,876.94x = 1,869,966,850,755.97
  5. Step 5: Solve for x
    x = 1,869,966,850,755.97/657,876.94
  6. Step 6: Final answer
    x = 2,842,426.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.