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Finding the Third Proportional to 425,858 and 931,204

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Solution

The third proportional to 425,858 and 931,204 is: 2,036,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,858 : 931,204 = 931,204 : x
  2. Step 2: Convert to fraction form
    425,858/931,204 = 931,204/x
  3. Step 3: Cross multiply
    425,858x = 931,204 × 931,204
  4. Step 4: Simplify right side
    425,858x = 867,140,889,616
  5. Step 5: Solve for x
    x = 867,140,889,616/425,858
  6. Step 6: Final answer
    x = 2,036,220.73

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Why These Related Problems?

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