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Finding the Third Proportional to 3,166,850 and 4,777,347

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Solution

The third proportional to 3,166,850 and 4,777,347 is: 7,206,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,850 : 4,777,347 = 4,777,347 : x
  2. Step 2: Convert to fraction form
    3,166,850/4,777,347 = 4,777,347/x
  3. Step 3: Cross multiply
    3,166,850x = 4,777,347 × 4,777,347
  4. Step 4: Simplify right side
    3,166,850x = 22,823,044,358,409
  5. Step 5: Solve for x
    x = 22,823,044,358,409/3,166,850
  6. Step 6: Final answer
    x = 7,206,859.93

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Why These Related Problems?

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