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Finding the Third Proportional to 4,057,891 and 6,074,038

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Solution

The third proportional to 4,057,891 and 6,074,038 is: 9,091,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,891 : 6,074,038 = 6,074,038 : x
  2. Step 2: Convert to fraction form
    4,057,891/6,074,038 = 6,074,038/x
  3. Step 3: Cross multiply
    4,057,891x = 6,074,038 × 6,074,038
  4. Step 4: Simplify right side
    4,057,891x = 36,893,937,625,444
  5. Step 5: Solve for x
    x = 36,893,937,625,444/4,057,891
  6. Step 6: Final answer
    x = 9,091,899.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.