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Finding the Third Proportional to 4,261,378 and 5,741,411

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Solution

The third proportional to 4,261,378 and 5,741,411 is: 7,735,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261,378 : 5,741,411 = 5,741,411 : x
  2. Step 2: Convert to fraction form
    4,261,378/5,741,411 = 5,741,411/x
  3. Step 3: Cross multiply
    4,261,378x = 5,741,411 × 5,741,411
  4. Step 4: Simplify right side
    4,261,378x = 32,963,800,270,921
  5. Step 5: Solve for x
    x = 32,963,800,270,921/4,261,378
  6. Step 6: Final answer
    x = 7,735,479.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.