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Finding the Third Proportional to 657,292 and 1,414,214

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Solution

The third proportional to 657,292 and 1,414,214 is: 3,042,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,292 : 1,414,214 = 1,414,214 : x
  2. Step 2: Convert to fraction form
    657,292/1,414,214 = 1,414,214/x
  3. Step 3: Cross multiply
    657,292x = 1,414,214 × 1,414,214
  4. Step 4: Simplify right side
    657,292x = 2,000,001,237,796
  5. Step 5: Solve for x
    x = 2,000,001,237,796/657,292
  6. Step 6: Final answer
    x = 3,042,789.56

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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.