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Finding the Third Proportional to 4,297,532 and 6,446,298

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Solution

The third proportional to 4,297,532 and 6,446,298 is: 9,669,447

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297,532 : 6,446,298 = 6,446,298 : x
  2. Step 2: Convert to fraction form
    4,297,532/6,446,298 = 6,446,298/x
  3. Step 3: Cross multiply
    4,297,532x = 6,446,298 × 6,446,298
  4. Step 4: Simplify right side
    4,297,532x = 41,554,757,904,804
  5. Step 5: Solve for x
    x = 41,554,757,904,804/4,297,532
  6. Step 6: Final answer
    x = 9,669,447

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.