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Finding the Third Proportional to 568,397 and 1,215,565

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Solution

The third proportional to 568,397 and 1,215,565 is: 2,599,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,397 : 1,215,565 = 1,215,565 : x
  2. Step 2: Convert to fraction form
    568,397/1,215,565 = 1,215,565/x
  3. Step 3: Cross multiply
    568,397x = 1,215,565 × 1,215,565
  4. Step 4: Simplify right side
    568,397x = 1,477,598,269,225
  5. Step 5: Solve for x
    x = 1,477,598,269,225/568,397
  6. Step 6: Final answer
    x = 2,599,588.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.