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Finding the Third Proportional to 3,491,872 and 5,450,040

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Solution

The third proportional to 3,491,872 and 5,450,040 is: 8,506,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491,872 : 5,450,040 = 5,450,040 : x
  2. Step 2: Convert to fraction form
    3,491,872/5,450,040 = 5,450,040/x
  3. Step 3: Cross multiply
    3,491,872x = 5,450,040 × 5,450,040
  4. Step 4: Simplify right side
    3,491,872x = 29,702,936,001,600
  5. Step 5: Solve for x
    x = 29,702,936,001,600/3,491,872
  6. Step 6: Final answer
    x = 8,506,307.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.