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Finding the Third Proportional to 4,179,534 and 6,377,400

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Solution

The third proportional to 4,179,534 and 6,377,400 is: 9,731,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179,534 : 6,377,400 = 6,377,400 : x
  2. Step 2: Convert to fraction form
    4,179,534/6,377,400 = 6,377,400/x
  3. Step 3: Cross multiply
    4,179,534x = 6,377,400 × 6,377,400
  4. Step 4: Simplify right side
    4,179,534x = 40,671,230,760,000
  5. Step 5: Solve for x
    x = 40,671,230,760,000/4,179,534
  6. Step 6: Final answer
    x = 9,731,044.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.