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Finding the Third Proportional to 896,097 and 1,419,615

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Solution

The third proportional to 896,097 and 1,419,615 is: 2,248,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,097 : 1,419,615 = 1,419,615 : x
  2. Step 2: Convert to fraction form
    896,097/1,419,615 = 1,419,615/x
  3. Step 3: Cross multiply
    896,097x = 1,419,615 × 1,419,615
  4. Step 4: Simplify right side
    896,097x = 2,015,306,748,225
  5. Step 5: Solve for x
    x = 2,015,306,748,225/896,097
  6. Step 6: Final answer
    x = 2,248,982.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.