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Finding the Third Proportional to 1,937,668 and 4,171,471

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Solution

The third proportional to 1,937,668 and 4,171,471 is: 8,980,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,668 : 4,171,471 = 4,171,471 : x
  2. Step 2: Convert to fraction form
    1,937,668/4,171,471 = 4,171,471/x
  3. Step 3: Cross multiply
    1,937,668x = 4,171,471 × 4,171,471
  4. Step 4: Simplify right side
    1,937,668x = 17,401,170,303,841
  5. Step 5: Solve for x
    x = 17,401,170,303,841/1,937,668
  6. Step 6: Final answer
    x = 8,980,470.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.