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Finding the Third Proportional to 684,676 and 1,477,609

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Solution

The third proportional to 684,676 and 1,477,609 is: 3,188,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,676 : 1,477,609 = 1,477,609 : x
  2. Step 2: Convert to fraction form
    684,676/1,477,609 = 1,477,609/x
  3. Step 3: Cross multiply
    684,676x = 1,477,609 × 1,477,609
  4. Step 4: Simplify right side
    684,676x = 2,183,328,356,881
  5. Step 5: Solve for x
    x = 2,183,328,356,881/684,676
  6. Step 6: Final answer
    x = 3,188,848.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.