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Finding the Third Proportional to 1,467,664 and 2,997,536

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Solution

The third proportional to 1,467,664 and 2,997,536 is: 6,122,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,664 : 2,997,536 = 2,997,536 : x
  2. Step 2: Convert to fraction form
    1,467,664/2,997,536 = 2,997,536/x
  3. Step 3: Cross multiply
    1,467,664x = 2,997,536 × 2,997,536
  4. Step 4: Simplify right side
    1,467,664x = 8,985,222,071,296
  5. Step 5: Solve for x
    x = 8,985,222,071,296/1,467,664
  6. Step 6: Final answer
    x = 6,122,124.73

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.