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Finding the Third Proportional to 4,261,422 and 5,741,487

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Solution

The third proportional to 4,261,422 and 5,741,487 is: 7,735,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261,422 : 5,741,487 = 5,741,487 : x
  2. Step 2: Convert to fraction form
    4,261,422/5,741,487 = 5,741,487/x
  3. Step 3: Cross multiply
    4,261,422x = 5,741,487 × 5,741,487
  4. Step 4: Simplify right side
    4,261,422x = 32,964,672,971,169
  5. Step 5: Solve for x
    x = 32,964,672,971,169/4,261,422
  6. Step 6: Final answer
    x = 7,735,603.98

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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.