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Finding the Third Proportional to 2,795,709 and 6,114,831

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Solution

The third proportional to 2,795,709 and 6,114,831 is: 13,374,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795,709 : 6,114,831 = 6,114,831 : x
  2. Step 2: Convert to fraction form
    2,795,709/6,114,831 = 6,114,831/x
  3. Step 3: Cross multiply
    2,795,709x = 6,114,831 × 6,114,831
  4. Step 4: Simplify right side
    2,795,709x = 37,391,158,158,561
  5. Step 5: Solve for x
    x = 37,391,158,158,561/2,795,709
  6. Step 6: Final answer
    x = 13,374,481.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.