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Finding the Third Proportional to 1,278,180 and 2,749,484.25

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Solution

The third proportional to 1,278,180 and 2,749,484.25 is: 5,914,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,180 : 2,749,484.25 = 2,749,484.25 : x
  2. Step 2: Convert to fraction form
    1,278,180/2,749,484.25 = 2,749,484.25/x
  3. Step 3: Cross multiply
    1,278,180x = 2,749,484.25 × 2,749,484.25
  4. Step 4: Simplify right side
    1,278,180x = 7,559,663,640,998.06
  5. Step 5: Solve for x
    x = 7,559,663,640,998.06/1,278,180
  6. Step 6: Final answer
    x = 5,914,396.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.