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Finding the Third Proportional to 2,068,119 and 4,468,297

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Solution

The third proportional to 2,068,119 and 4,468,297 is: 9,654,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,119 : 4,468,297 = 4,468,297 : x
  2. Step 2: Convert to fraction form
    2,068,119/4,468,297 = 4,468,297/x
  3. Step 3: Cross multiply
    2,068,119x = 4,468,297 × 4,468,297
  4. Step 4: Simplify right side
    2,068,119x = 19,965,678,080,209
  5. Step 5: Solve for x
    x = 19,965,678,080,209/2,068,119
  6. Step 6: Final answer
    x = 9,654,027.68

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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.