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Finding the Third Proportional to 935,212 and 2,029,832

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Solution

The third proportional to 935,212 and 2,029,832 is: 4,405,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,212 : 2,029,832 = 2,029,832 : x
  2. Step 2: Convert to fraction form
    935,212/2,029,832 = 2,029,832/x
  3. Step 3: Cross multiply
    935,212x = 2,029,832 × 2,029,832
  4. Step 4: Simplify right side
    935,212x = 4,120,217,948,224
  5. Step 5: Solve for x
    x = 4,120,217,948,224/935,212
  6. Step 6: Final answer
    x = 4,405,651.28

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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.