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Finding the Third Proportional to 897,652 and 1,964,215

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Solution

The third proportional to 897,652 and 1,964,215 is: 4,298,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,652 : 1,964,215 = 1,964,215 : x
  2. Step 2: Convert to fraction form
    897,652/1,964,215 = 1,964,215/x
  3. Step 3: Cross multiply
    897,652x = 1,964,215 × 1,964,215
  4. Step 4: Simplify right side
    897,652x = 3,858,140,566,225
  5. Step 5: Solve for x
    x = 3,858,140,566,225/897,652
  6. Step 6: Final answer
    x = 4,298,035.95

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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.