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Finding the Third Proportional to 1,832,064 and 2,531,520

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Solution

The third proportional to 1,832,064 and 2,531,520 is: 3,498,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,064 : 2,531,520 = 2,531,520 : x
  2. Step 2: Convert to fraction form
    1,832,064/2,531,520 = 2,531,520/x
  3. Step 3: Cross multiply
    1,832,064x = 2,531,520 × 2,531,520
  4. Step 4: Simplify right side
    1,832,064x = 6,408,593,510,400
  5. Step 5: Solve for x
    x = 6,408,593,510,400/1,832,064
  6. Step 6: Final answer
    x = 3,498,018.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.