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Finding the Third Proportional to 2,374,057.41 and 4,832,015.34

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Solution

The third proportional to 2,374,057.41 and 4,832,015.34 is: 9,834,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,057.41 : 4,832,015.34 = 4,832,015.34 : x
  2. Step 2: Convert to fraction form
    2,374,057.41/4,832,015.34 = 4,832,015.34/x
  3. Step 3: Cross multiply
    2,374,057.41x = 4,832,015.34 × 4,832,015.34
  4. Step 4: Simplify right side
    2,374,057.41x = 23,348,372,282,235.43
  5. Step 5: Solve for x
    x = 23,348,372,282,235.43/2,374,057.41
  6. Step 6: Final answer
    x = 9,834,796.84

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Why These Related Problems?

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