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Finding the Third Proportional to 2,094,578 and 4,562,399

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Solution

The third proportional to 2,094,578 and 4,562,399 is: 9,937,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,578 : 4,562,399 = 4,562,399 : x
  2. Step 2: Convert to fraction form
    2,094,578/4,562,399 = 4,562,399/x
  3. Step 3: Cross multiply
    2,094,578x = 4,562,399 × 4,562,399
  4. Step 4: Simplify right side
    2,094,578x = 20,815,484,635,201
  5. Step 5: Solve for x
    x = 20,815,484,635,201/2,094,578
  6. Step 6: Final answer
    x = 9,937,793.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.