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Finding the Third Proportional to 1,003,318 and 2,142,716

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Solution

The third proportional to 1,003,318 and 2,142,716 is: 4,576,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,318 : 2,142,716 = 2,142,716 : x
  2. Step 2: Convert to fraction form
    1,003,318/2,142,716 = 2,142,716/x
  3. Step 3: Cross multiply
    1,003,318x = 2,142,716 × 2,142,716
  4. Step 4: Simplify right side
    1,003,318x = 4,591,231,856,656
  5. Step 5: Solve for x
    x = 4,591,231,856,656/1,003,318
  6. Step 6: Final answer
    x = 4,576,048.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.