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Finding the Third Proportional to 2,795,814 and 6,114,969

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Solution

The third proportional to 2,795,814 and 6,114,969 is: 13,374,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795,814 : 6,114,969 = 6,114,969 : x
  2. Step 2: Convert to fraction form
    2,795,814/6,114,969 = 6,114,969/x
  3. Step 3: Cross multiply
    2,795,814x = 6,114,969 × 6,114,969
  4. Step 4: Simplify right side
    2,795,814x = 37,392,845,870,961
  5. Step 5: Solve for x
    x = 37,392,845,870,961/2,795,814
  6. Step 6: Final answer
    x = 13,374,582.81

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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.