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Finding the Third Proportional to 697,540 and 1,494,725

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Solution

The third proportional to 697,540 and 1,494,725 is: 3,202,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,540 : 1,494,725 = 1,494,725 : x
  2. Step 2: Convert to fraction form
    697,540/1,494,725 = 1,494,725/x
  3. Step 3: Cross multiply
    697,540x = 1,494,725 × 1,494,725
  4. Step 4: Simplify right side
    697,540x = 2,234,202,825,625
  5. Step 5: Solve for x
    x = 2,234,202,825,625/697,540
  6. Step 6: Final answer
    x = 3,202,974.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.