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Finding the Third Proportional to 4,332,965 and 6,705,588

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Solution

The third proportional to 4,332,965 and 6,705,588 is: 10,377,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332,965 : 6,705,588 = 6,705,588 : x
  2. Step 2: Convert to fraction form
    4,332,965/6,705,588 = 6,705,588/x
  3. Step 3: Cross multiply
    4,332,965x = 6,705,588 × 6,705,588
  4. Step 4: Simplify right side
    4,332,965x = 44,964,910,425,744
  5. Step 5: Solve for x
    x = 44,964,910,425,744/4,332,965
  6. Step 6: Final answer
    x = 10,377,399.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.