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Finding the Third Proportional to 1,407,135.25 and 3,318,416

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Solution

The third proportional to 1,407,135.25 and 3,318,416 is: 7,825,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,135.25 : 3,318,416 = 3,318,416 : x
  2. Step 2: Convert to fraction form
    1,407,135.25/3,318,416 = 3,318,416/x
  3. Step 3: Cross multiply
    1,407,135.25x = 3,318,416 × 3,318,416
  4. Step 4: Simplify right side
    1,407,135.25x = 11,011,884,749,056
  5. Step 5: Solve for x
    x = 11,011,884,749,056/1,407,135.25
  6. Step 6: Final answer
    x = 7,825,747.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.