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Finding the Third Proportional to 1,449,914 and 3,411,377

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Solution

The third proportional to 1,449,914 and 3,411,377 is: 8,026,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,914 : 3,411,377 = 3,411,377 : x
  2. Step 2: Convert to fraction form
    1,449,914/3,411,377 = 3,411,377/x
  3. Step 3: Cross multiply
    1,449,914x = 3,411,377 × 3,411,377
  4. Step 4: Simplify right side
    1,449,914x = 11,637,493,036,129
  5. Step 5: Solve for x
    x = 11,637,493,036,129/1,449,914
  6. Step 6: Final answer
    x = 8,026,333.31

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.