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Finding the Third Proportional to 3,296,984 and 7,029,457

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Solution

The third proportional to 3,296,984 and 7,029,457 is: 14,987,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,984 : 7,029,457 = 7,029,457 : x
  2. Step 2: Convert to fraction form
    3,296,984/7,029,457 = 7,029,457/x
  3. Step 3: Cross multiply
    3,296,984x = 7,029,457 × 7,029,457
  4. Step 4: Simplify right side
    3,296,984x = 49,413,265,714,849
  5. Step 5: Solve for x
    x = 49,413,265,714,849/3,296,984
  6. Step 6: Final answer
    x = 14,987,414.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.