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Finding the Third Proportional to 1,040,470,205 and 1,503,299,767

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Solution

The third proportional to 1,040,470,205 and 1,503,299,767 is: 2,172,008,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,470,205 : 1,503,299,767 = 1,503,299,767 : x
  2. Step 2: Convert to fraction form
    1,040,470,205/1,503,299,767 = 1,503,299,767/x
  3. Step 3: Cross multiply
    1,040,470,205x = 1,503,299,767 × 1,503,299,767
  4. Step 4: Simplify right side
    1,040,470,205x = 2,259,910,189,462,254,336
  5. Step 5: Solve for x
    x = 2,259,910,189,462,254,336/1,040,470,205
  6. Step 6: Final answer
    x = 2,172,008,557.86

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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.