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Finding the Third Proportional to 4,164,972 and 6,291,834

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Solution

The third proportional to 4,164,972 and 6,291,834 is: 9,504,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,972 : 6,291,834 = 6,291,834 : x
  2. Step 2: Convert to fraction form
    4,164,972/6,291,834 = 6,291,834/x
  3. Step 3: Cross multiply
    4,164,972x = 6,291,834 × 6,291,834
  4. Step 4: Simplify right side
    4,164,972x = 39,587,175,083,556
  5. Step 5: Solve for x
    x = 39,587,175,083,556/4,164,972
  6. Step 6: Final answer
    x = 9,504,787.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.