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Finding the Third Proportional to 897,771 and 1,969,965

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Solution

The third proportional to 897,771 and 1,969,965 is: 4,322,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,771 : 1,969,965 = 1,969,965 : x
  2. Step 2: Convert to fraction form
    897,771/1,969,965 = 1,969,965/x
  3. Step 3: Cross multiply
    897,771x = 1,969,965 × 1,969,965
  4. Step 4: Simplify right side
    897,771x = 3,880,762,101,225
  5. Step 5: Solve for x
    x = 3,880,762,101,225/897,771
  6. Step 6: Final answer
    x = 4,322,663.69

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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.