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Finding the Third Proportional to 568,096 and 1,248,296

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Solution

The third proportional to 568,096 and 1,248,296 is: 2,742,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,096 : 1,248,296 = 1,248,296 : x
  2. Step 2: Convert to fraction form
    568,096/1,248,296 = 1,248,296/x
  3. Step 3: Cross multiply
    568,096x = 1,248,296 × 1,248,296
  4. Step 4: Simplify right side
    568,096x = 1,558,242,903,616
  5. Step 5: Solve for x
    x = 1,558,242,903,616/568,096
  6. Step 6: Final answer
    x = 2,742,921.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.