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Finding the Third Proportional to 1,329,378.75 and 2,899,361.25

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Solution

The third proportional to 1,329,378.75 and 2,899,361.25 is: 6,323,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,378.75 : 2,899,361.25 = 2,899,361.25 : x
  2. Step 2: Convert to fraction form
    1,329,378.75/2,899,361.25 = 2,899,361.25/x
  3. Step 3: Cross multiply
    1,329,378.75x = 2,899,361.25 × 2,899,361.25
  4. Step 4: Simplify right side
    1,329,378.75x = 8,406,295,658,001.56
  5. Step 5: Solve for x
    x = 8,406,295,658,001.56/1,329,378.75
  6. Step 6: Final answer
    x = 6,323,476.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.