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Finding the Third Proportional to 2,842,864 and 6,158,120

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Solution

The third proportional to 2,842,864 and 6,158,120 is: 13,339,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,864 : 6,158,120 = 6,158,120 : x
  2. Step 2: Convert to fraction form
    2,842,864/6,158,120 = 6,158,120/x
  3. Step 3: Cross multiply
    2,842,864x = 6,158,120 × 6,158,120
  4. Step 4: Simplify right side
    2,842,864x = 37,922,441,934,400
  5. Step 5: Solve for x
    x = 37,922,441,934,400/2,842,864
  6. Step 6: Final answer
    x = 13,339,520.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.