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Finding the Third Proportional to 486,462 and 1,044,852

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Solution

The third proportional to 486,462 and 1,044,852 is: 2,244,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,462 : 1,044,852 = 1,044,852 : x
  2. Step 2: Convert to fraction form
    486,462/1,044,852 = 1,044,852/x
  3. Step 3: Cross multiply
    486,462x = 1,044,852 × 1,044,852
  4. Step 4: Simplify right side
    486,462x = 1,091,715,701,904
  5. Step 5: Solve for x
    x = 1,091,715,701,904/486,462
  6. Step 6: Final answer
    x = 2,244,195.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.