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Finding the Third Proportional to 2,467,712 and 3,361,836

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Solution

The third proportional to 2,467,712 and 3,361,836 is: 4,579,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,712 : 3,361,836 = 3,361,836 : x
  2. Step 2: Convert to fraction form
    2,467,712/3,361,836 = 3,361,836/x
  3. Step 3: Cross multiply
    2,467,712x = 3,361,836 × 3,361,836
  4. Step 4: Simplify right side
    2,467,712x = 11,301,941,290,896
  5. Step 5: Solve for x
    x = 11,301,941,290,896/2,467,712
  6. Step 6: Final answer
    x = 4,579,927.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.