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Finding the Third Proportional to 897,654 and 1,964,219

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Solution

The third proportional to 897,654 and 1,964,219 is: 4,298,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,654 : 1,964,219 = 1,964,219 : x
  2. Step 2: Convert to fraction form
    897,654/1,964,219 = 1,964,219/x
  3. Step 3: Cross multiply
    897,654x = 1,964,219 × 1,964,219
  4. Step 4: Simplify right side
    897,654x = 3,858,156,279,961
  5. Step 5: Solve for x
    x = 3,858,156,279,961/897,654
  6. Step 6: Final answer
    x = 4,298,043.88

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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.