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Finding the Third Proportional to 3,074,620 and 6,728,430

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Solution

The third proportional to 3,074,620 and 6,728,430 is: 14,724,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,620 : 6,728,430 = 6,728,430 : x
  2. Step 2: Convert to fraction form
    3,074,620/6,728,430 = 6,728,430/x
  3. Step 3: Cross multiply
    3,074,620x = 6,728,430 × 6,728,430
  4. Step 4: Simplify right side
    3,074,620x = 45,271,770,264,900
  5. Step 5: Solve for x
    x = 45,271,770,264,900/3,074,620
  6. Step 6: Final answer
    x = 14,724,346.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.