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Finding the Third Proportional to 657,298 and 1,414,228

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Solution

The third proportional to 657,298 and 1,414,228 is: 3,042,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,298 : 1,414,228 = 1,414,228 : x
  2. Step 2: Convert to fraction form
    657,298/1,414,228 = 1,414,228/x
  3. Step 3: Cross multiply
    657,298x = 1,414,228 × 1,414,228
  4. Step 4: Simplify right side
    657,298x = 2,000,040,835,984
  5. Step 5: Solve for x
    x = 2,000,040,835,984/657,298
  6. Step 6: Final answer
    x = 3,042,822.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.