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Finding the Third Proportional to 4,561,738 and 6,377,578

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Solution

The third proportional to 4,561,738 and 6,377,578 is: 8,916,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,738 : 6,377,578 = 6,377,578 : x
  2. Step 2: Convert to fraction form
    4,561,738/6,377,578 = 6,377,578/x
  3. Step 3: Cross multiply
    4,561,738x = 6,377,578 × 6,377,578
  4. Step 4: Simplify right side
    4,561,738x = 40,673,501,146,084
  5. Step 5: Solve for x
    x = 40,673,501,146,084/4,561,738
  6. Step 6: Final answer
    x = 8,916,229.11

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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.