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Finding the Third Proportional to 4,561,741 and 6,377,582

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Solution

The third proportional to 4,561,741 and 6,377,582 is: 8,916,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,741 : 6,377,582 = 6,377,582 : x
  2. Step 2: Convert to fraction form
    4,561,741/6,377,582 = 6,377,582/x
  3. Step 3: Cross multiply
    4,561,741x = 6,377,582 × 6,377,582
  4. Step 4: Simplify right side
    4,561,741x = 40,673,552,166,724
  5. Step 5: Solve for x
    x = 40,673,552,166,724/4,561,741
  6. Step 6: Final answer
    x = 8,916,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.