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Finding the Third Proportional to 1,861,431 and 4,052,475

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Solution

The third proportional to 1,861,431 and 4,052,475 is: 8,822,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,431 : 4,052,475 = 4,052,475 : x
  2. Step 2: Convert to fraction form
    1,861,431/4,052,475 = 4,052,475/x
  3. Step 3: Cross multiply
    1,861,431x = 4,052,475 × 4,052,475
  4. Step 4: Simplify right side
    1,861,431x = 16,422,553,625,625
  5. Step 5: Solve for x
    x = 16,422,553,625,625/1,861,431
  6. Step 6: Final answer
    x = 8,822,542.24

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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.