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Finding the Third Proportional to 3,467,478 and 4,600,972

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Solution

The third proportional to 3,467,478 and 4,600,972 is: 6,104,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467,478 : 4,600,972 = 4,600,972 : x
  2. Step 2: Convert to fraction form
    3,467,478/4,600,972 = 4,600,972/x
  3. Step 3: Cross multiply
    3,467,478x = 4,600,972 × 4,600,972
  4. Step 4: Simplify right side
    3,467,478x = 21,168,943,344,784
  5. Step 5: Solve for x
    x = 21,168,943,344,784/3,467,478
  6. Step 6: Final answer
    x = 6,104,997.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.