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Finding the Third Proportional to 2,229,865 and 4,892,786

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Solution

The third proportional to 2,229,865 and 4,892,786 is: 10,735,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,865 : 4,892,786 = 4,892,786 : x
  2. Step 2: Convert to fraction form
    2,229,865/4,892,786 = 4,892,786/x
  3. Step 3: Cross multiply
    2,229,865x = 4,892,786 × 4,892,786
  4. Step 4: Simplify right side
    2,229,865x = 23,939,354,841,796
  5. Step 5: Solve for x
    x = 23,939,354,841,796/2,229,865
  6. Step 6: Final answer
    x = 10,735,786.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.