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Finding the Third Proportional to 2,665,514 and 3,898,297

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Solution

The third proportional to 2,665,514 and 3,898,297 is: 5,701,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,514 : 3,898,297 = 3,898,297 : x
  2. Step 2: Convert to fraction form
    2,665,514/3,898,297 = 3,898,297/x
  3. Step 3: Cross multiply
    2,665,514x = 3,898,297 × 3,898,297
  4. Step 4: Simplify right side
    2,665,514x = 15,196,719,500,209
  5. Step 5: Solve for x
    x = 15,196,719,500,209/2,665,514
  6. Step 6: Final answer
    x = 5,701,234.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.