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Finding the Third Proportional to 1,581,738 and 2,451,258

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Solution

The third proportional to 1,581,738 and 2,451,258 is: 3,798,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,738 : 2,451,258 = 2,451,258 : x
  2. Step 2: Convert to fraction form
    1,581,738/2,451,258 = 2,451,258/x
  3. Step 3: Cross multiply
    1,581,738x = 2,451,258 × 2,451,258
  4. Step 4: Simplify right side
    1,581,738x = 6,008,665,782,564
  5. Step 5: Solve for x
    x = 6,008,665,782,564/1,581,738
  6. Step 6: Final answer
    x = 3,798,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.