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Finding the Third Proportional to 2,314,012 and 5,026,046

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Solution

The third proportional to 2,314,012 and 5,026,046 is: 10,916,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,012 : 5,026,046 = 5,026,046 : x
  2. Step 2: Convert to fraction form
    2,314,012/5,026,046 = 5,026,046/x
  3. Step 3: Cross multiply
    2,314,012x = 5,026,046 × 5,026,046
  4. Step 4: Simplify right side
    2,314,012x = 25,261,138,394,116
  5. Step 5: Solve for x
    x = 25,261,138,394,116/2,314,012
  6. Step 6: Final answer
    x = 10,916,597.84

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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.