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Finding the Third Proportional to 2,981,678 and 6,435,460

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Solution

The third proportional to 2,981,678 and 6,435,460 is: 13,889,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,678 : 6,435,460 = 6,435,460 : x
  2. Step 2: Convert to fraction form
    2,981,678/6,435,460 = 6,435,460/x
  3. Step 3: Cross multiply
    2,981,678x = 6,435,460 × 6,435,460
  4. Step 4: Simplify right side
    2,981,678x = 41,415,145,411,600
  5. Step 5: Solve for x
    x = 41,415,145,411,600/2,981,678
  6. Step 6: Final answer
    x = 13,889,878.59

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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.