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Finding the Third Proportional to 2,271,420 and 5,003,730

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Solution

The third proportional to 2,271,420 and 5,003,730 is: 11,022,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,420 : 5,003,730 = 5,003,730 : x
  2. Step 2: Convert to fraction form
    2,271,420/5,003,730 = 5,003,730/x
  3. Step 3: Cross multiply
    2,271,420x = 5,003,730 × 5,003,730
  4. Step 4: Simplify right side
    2,271,420x = 25,037,313,912,900
  5. Step 5: Solve for x
    x = 25,037,313,912,900/2,271,420
  6. Step 6: Final answer
    x = 11,022,758.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.