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Finding the Third Proportional to 3,468,864 and 5,338,464

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Solution

The third proportional to 3,468,864 and 5,338,464 is: 8,215,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468,864 : 5,338,464 = 5,338,464 : x
  2. Step 2: Convert to fraction form
    3,468,864/5,338,464 = 5,338,464/x
  3. Step 3: Cross multiply
    3,468,864x = 5,338,464 × 5,338,464
  4. Step 4: Simplify right side
    3,468,864x = 28,499,197,879,296
  5. Step 5: Solve for x
    x = 28,499,197,879,296/3,468,864
  6. Step 6: Final answer
    x = 8,215,714.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.