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Finding the Third Proportional to 2,154,901 and 3,213,666

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Solution

The third proportional to 2,154,901 and 3,213,666 is: 4,792,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,901 : 3,213,666 = 3,213,666 : x
  2. Step 2: Convert to fraction form
    2,154,901/3,213,666 = 3,213,666/x
  3. Step 3: Cross multiply
    2,154,901x = 3,213,666 × 3,213,666
  4. Step 4: Simplify right side
    2,154,901x = 10,327,649,159,556
  5. Step 5: Solve for x
    x = 10,327,649,159,556/2,154,901
  6. Step 6: Final answer
    x = 4,792,632.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.