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Finding the Third Proportional to 3,419,064 and 5,414,001.75

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Solution

The third proportional to 3,419,064 and 5,414,001.75 is: 8,572,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,064 : 5,414,001.75 = 5,414,001.75 : x
  2. Step 2: Convert to fraction form
    3,419,064/5,414,001.75 = 5,414,001.75/x
  3. Step 3: Cross multiply
    3,419,064x = 5,414,001.75 × 5,414,001.75
  4. Step 4: Simplify right side
    3,419,064x = 29,311,414,949,003.06
  5. Step 5: Solve for x
    x = 29,311,414,949,003.06/3,419,064
  6. Step 6: Final answer
    x = 8,572,935.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.