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Finding the Third Proportional to 657,294 and 1,414,218

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Solution

The third proportional to 657,294 and 1,414,218 is: 3,042,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,294 : 1,414,218 = 1,414,218 : x
  2. Step 2: Convert to fraction form
    657,294/1,414,218 = 1,414,218/x
  3. Step 3: Cross multiply
    657,294x = 1,414,218 × 1,414,218
  4. Step 4: Simplify right side
    657,294x = 2,000,012,551,524
  5. Step 5: Solve for x
    x = 2,000,012,551,524/657,294
  6. Step 6: Final answer
    x = 3,042,797.52

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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.