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Finding the Third Proportional to 3,897,234 and 6,122,142

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Solution

The third proportional to 3,897,234 and 6,122,142 is: 9,617,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,234 : 6,122,142 = 6,122,142 : x
  2. Step 2: Convert to fraction form
    3,897,234/6,122,142 = 6,122,142/x
  3. Step 3: Cross multiply
    3,897,234x = 6,122,142 × 6,122,142
  4. Step 4: Simplify right side
    3,897,234x = 37,480,622,668,164
  5. Step 5: Solve for x
    x = 37,480,622,668,164/3,897,234
  6. Step 6: Final answer
    x = 9,617,236.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.