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Finding the Third Proportional to 476,295 and 1,027,374

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Solution

The third proportional to 476,295 and 1,027,374 is: 2,216,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,295 : 1,027,374 = 1,027,374 : x
  2. Step 2: Convert to fraction form
    476,295/1,027,374 = 1,027,374/x
  3. Step 3: Cross multiply
    476,295x = 1,027,374 × 1,027,374
  4. Step 4: Simplify right side
    476,295x = 1,055,497,335,876
  5. Step 5: Solve for x
    x = 1,055,497,335,876/476,295
  6. Step 6: Final answer
    x = 2,216,057.98

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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.