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Finding the Third Proportional to 2,940,735 and 4,497,611

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Solution

The third proportional to 2,940,735 and 4,497,611 is: 6,878,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,735 : 4,497,611 = 4,497,611 : x
  2. Step 2: Convert to fraction form
    2,940,735/4,497,611 = 4,497,611/x
  3. Step 3: Cross multiply
    2,940,735x = 4,497,611 × 4,497,611
  4. Step 4: Simplify right side
    2,940,735x = 20,228,504,707,321
  5. Step 5: Solve for x
    x = 20,228,504,707,321/2,940,735
  6. Step 6: Final answer
    x = 6,878,724.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.