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Finding the Third Proportional to 1,857,265.50 and 4,023,678

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Solution

The third proportional to 1,857,265.50 and 4,023,678 is: 8,717,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,265.50 : 4,023,678 = 4,023,678 : x
  2. Step 2: Convert to fraction form
    1,857,265.50/4,023,678 = 4,023,678/x
  3. Step 3: Cross multiply
    1,857,265.50x = 4,023,678 × 4,023,678
  4. Step 4: Simplify right side
    1,857,265.50x = 16,189,984,647,684
  5. Step 5: Solve for x
    x = 16,189,984,647,684/1,857,265.50
  6. Step 6: Final answer
    x = 8,717,108.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.