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Finding the Third Proportional to 1,040,470,202 and 1,503,299,763

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Solution

The third proportional to 1,040,470,202 and 1,503,299,763 is: 2,172,008,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,470,202 : 1,503,299,763 = 1,503,299,763 : x
  2. Step 2: Convert to fraction form
    1,040,470,202/1,503,299,763 = 1,503,299,763/x
  3. Step 3: Cross multiply
    1,040,470,202x = 1,503,299,763 × 1,503,299,763
  4. Step 4: Simplify right side
    1,040,470,202x = 2,259,910,177,435,856,128
  5. Step 5: Solve for x
    x = 2,259,910,177,435,856,128/1,040,470,202
  6. Step 6: Final answer
    x = 2,172,008,552.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.