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Finding the Third Proportional to 5,794,890 and 12,598,692

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Solution

The third proportional to 5,794,890 and 12,598,692 is: 27,390,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,890 : 12,598,692 = 12,598,692 : x
  2. Step 2: Convert to fraction form
    5,794,890/12,598,692 = 12,598,692/x
  3. Step 3: Cross multiply
    5,794,890x = 12,598,692 × 12,598,692
  4. Step 4: Simplify right side
    5,794,890x = 158,727,040,110,864
  5. Step 5: Solve for x
    x = 158,727,040,110,864/5,794,890
  6. Step 6: Final answer
    x = 27,390,863.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.