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Finding the Third Proportional to 897,192 and 1,961,568

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Solution

The third proportional to 897,192 and 1,961,568 is: 4,288,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,192 : 1,961,568 = 1,961,568 : x
  2. Step 2: Convert to fraction form
    897,192/1,961,568 = 1,961,568/x
  3. Step 3: Cross multiply
    897,192x = 1,961,568 × 1,961,568
  4. Step 4: Simplify right side
    897,192x = 3,847,749,018,624
  5. Step 5: Solve for x
    x = 3,847,749,018,624/897,192
  6. Step 6: Final answer
    x = 4,288,657.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.