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Finding the Third Proportional to 1,374,424 and 2,064,228

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Solution

The third proportional to 1,374,424 and 2,064,228 is: 3,100,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,424 : 2,064,228 = 2,064,228 : x
  2. Step 2: Convert to fraction form
    1,374,424/2,064,228 = 2,064,228/x
  3. Step 3: Cross multiply
    1,374,424x = 2,064,228 × 2,064,228
  4. Step 4: Simplify right side
    1,374,424x = 4,261,037,235,984
  5. Step 5: Solve for x
    x = 4,261,037,235,984/1,374,424
  6. Step 6: Final answer
    x = 3,100,234.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.