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Finding the Third Proportional to 2,557,170 and 3,970,224

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Solution

The third proportional to 2,557,170 and 3,970,224 is: 6,164,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,170 : 3,970,224 = 3,970,224 : x
  2. Step 2: Convert to fraction form
    2,557,170/3,970,224 = 3,970,224/x
  3. Step 3: Cross multiply
    2,557,170x = 3,970,224 × 3,970,224
  4. Step 4: Simplify right side
    2,557,170x = 15,762,678,610,176
  5. Step 5: Solve for x
    x = 15,762,678,610,176/2,557,170
  6. Step 6: Final answer
    x = 6,164,110.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.