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Finding the Third Proportional to 568,165 and 1,215,127

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Solution

The third proportional to 568,165 and 1,215,127 is: 2,598,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,165 : 1,215,127 = 1,215,127 : x
  2. Step 2: Convert to fraction form
    568,165/1,215,127 = 1,215,127/x
  3. Step 3: Cross multiply
    568,165x = 1,215,127 × 1,215,127
  4. Step 4: Simplify right side
    568,165x = 1,476,533,626,129
  5. Step 5: Solve for x
    x = 1,476,533,626,129/568,165
  6. Step 6: Final answer
    x = 2,598,776.11

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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.