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Finding the Third Proportional to 4,374,992 and 6,847,446

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Solution

The third proportional to 4,374,992 and 6,847,446 is: 10,717,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374,992 : 6,847,446 = 6,847,446 : x
  2. Step 2: Convert to fraction form
    4,374,992/6,847,446 = 6,847,446/x
  3. Step 3: Cross multiply
    4,374,992x = 6,847,446 × 6,847,446
  4. Step 4: Simplify right side
    4,374,992x = 46,887,516,722,916
  5. Step 5: Solve for x
    x = 46,887,516,722,916/4,374,992
  6. Step 6: Final answer
    x = 10,717,166.28

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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.