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Finding the Third Proportional to 570,704 and 1,215,136

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Solution

The third proportional to 570,704 and 1,215,136 is: 2,587,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,704 : 1,215,136 = 1,215,136 : x
  2. Step 2: Convert to fraction form
    570,704/1,215,136 = 1,215,136/x
  3. Step 3: Cross multiply
    570,704x = 1,215,136 × 1,215,136
  4. Step 4: Simplify right side
    570,704x = 1,476,555,498,496
  5. Step 5: Solve for x
    x = 1,476,555,498,496/570,704
  6. Step 6: Final answer
    x = 2,587,252.76

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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.