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Finding the Third Proportional to 2,193,676 and 4,891,473

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Solution

The third proportional to 2,193,676 and 4,891,473 is: 10,907,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,676 : 4,891,473 = 4,891,473 : x
  2. Step 2: Convert to fraction form
    2,193,676/4,891,473 = 4,891,473/x
  3. Step 3: Cross multiply
    2,193,676x = 4,891,473 × 4,891,473
  4. Step 4: Simplify right side
    2,193,676x = 23,926,508,109,729
  5. Step 5: Solve for x
    x = 23,926,508,109,729/2,193,676
  6. Step 6: Final answer
    x = 10,907,038.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.