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Finding the Third Proportional to 2,807,100 and 4,263,184.13

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Solution

The third proportional to 2,807,100 and 4,263,184.13 is: 6,474,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,100 : 4,263,184.13 = 4,263,184.13 : x
  2. Step 2: Convert to fraction form
    2,807,100/4,263,184.13 = 4,263,184.13/x
  3. Step 3: Cross multiply
    2,807,100x = 4,263,184.13 × 4,263,184.13
  4. Step 4: Simplify right side
    2,807,100x = 18,174,738,883,652.02
  5. Step 5: Solve for x
    x = 18,174,738,883,652.02/2,807,100
  6. Step 6: Final answer
    x = 6,474,560.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.