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Finding the Third Proportional to 2,786,913 and 6,121,875

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Solution

The third proportional to 2,786,913 and 6,121,875 is: 13,447,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,913 : 6,121,875 = 6,121,875 : x
  2. Step 2: Convert to fraction form
    2,786,913/6,121,875 = 6,121,875/x
  3. Step 3: Cross multiply
    2,786,913x = 6,121,875 × 6,121,875
  4. Step 4: Simplify right side
    2,786,913x = 37,477,353,515,625
  5. Step 5: Solve for x
    x = 37,477,353,515,625/2,786,913
  6. Step 6: Final answer
    x = 13,447,622.34

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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.