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Finding the Third Proportional to 1,733,828 and 3,763,110

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Solution

The third proportional to 1,733,828 and 3,763,110 is: 8,167,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,828 : 3,763,110 = 3,763,110 : x
  2. Step 2: Convert to fraction form
    1,733,828/3,763,110 = 3,763,110/x
  3. Step 3: Cross multiply
    1,733,828x = 3,763,110 × 3,763,110
  4. Step 4: Simplify right side
    1,733,828x = 14,160,996,872,100
  5. Step 5: Solve for x
    x = 14,160,996,872,100/1,733,828
  6. Step 6: Final answer
    x = 8,167,475.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.