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Finding the Third Proportional to 2,234,421 and 4,783,761

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Solution

The third proportional to 2,234,421 and 4,783,761 is: 10,241,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,421 : 4,783,761 = 4,783,761 : x
  2. Step 2: Convert to fraction form
    2,234,421/4,783,761 = 4,783,761/x
  3. Step 3: Cross multiply
    2,234,421x = 4,783,761 × 4,783,761
  4. Step 4: Simplify right side
    2,234,421x = 22,884,369,305,121
  5. Step 5: Solve for x
    x = 22,884,369,305,121/2,234,421
  6. Step 6: Final answer
    x = 10,241,744.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.