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Finding the Third Proportional to 641,648 and 897,037

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Solution

The third proportional to 641,648 and 897,037 is: 1,254,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,648 : 897,037 = 897,037 : x
  2. Step 2: Convert to fraction form
    641,648/897,037 = 897,037/x
  3. Step 3: Cross multiply
    641,648x = 897,037 × 897,037
  4. Step 4: Simplify right side
    641,648x = 804,675,379,369
  5. Step 5: Solve for x
    x = 804,675,379,369/641,648
  6. Step 6: Final answer
    x = 1,254,076.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.