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Finding the Third Proportional to 3,074,565 and 6,728,320

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Solution

The third proportional to 3,074,565 and 6,728,320 is: 14,724,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,565 : 6,728,320 = 6,728,320 : x
  2. Step 2: Convert to fraction form
    3,074,565/6,728,320 = 6,728,320/x
  3. Step 3: Cross multiply
    3,074,565x = 6,728,320 × 6,728,320
  4. Step 4: Simplify right side
    3,074,565x = 45,270,290,022,400
  5. Step 5: Solve for x
    x = 45,270,290,022,400/3,074,565
  6. Step 6: Final answer
    x = 14,724,128.46

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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.