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Finding the Third Proportional to 1,540,713 and 3,435,477

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Solution

The third proportional to 1,540,713 and 3,435,477 is: 7,660,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,713 : 3,435,477 = 3,435,477 : x
  2. Step 2: Convert to fraction form
    1,540,713/3,435,477 = 3,435,477/x
  3. Step 3: Cross multiply
    1,540,713x = 3,435,477 × 3,435,477
  4. Step 4: Simplify right side
    1,540,713x = 11,802,502,217,529
  5. Step 5: Solve for x
    x = 11,802,502,217,529/1,540,713
  6. Step 6: Final answer
    x = 7,660,415.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.