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Finding the Third Proportional to 425,889 and 938,195

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Solution

The third proportional to 425,889 and 938,195 is: 2,066,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,889 : 938,195 = 938,195 : x
  2. Step 2: Convert to fraction form
    425,889/938,195 = 938,195/x
  3. Step 3: Cross multiply
    425,889x = 938,195 × 938,195
  4. Step 4: Simplify right side
    425,889x = 880,209,858,025
  5. Step 5: Solve for x
    x = 880,209,858,025/425,889
  6. Step 6: Final answer
    x = 2,066,758.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.