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Finding the Third Proportional to 684,678 and 1,477,612

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Solution

The third proportional to 684,678 and 1,477,612 is: 3,188,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,678 : 1,477,612 = 1,477,612 : x
  2. Step 2: Convert to fraction form
    684,678/1,477,612 = 1,477,612/x
  3. Step 3: Cross multiply
    684,678x = 1,477,612 × 1,477,612
  4. Step 4: Simplify right side
    684,678x = 2,183,337,222,544
  5. Step 5: Solve for x
    x = 2,183,337,222,544/684,678
  6. Step 6: Final answer
    x = 3,188,852.60

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