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Finding the Third Proportional to 2,605,014 and 5,631,228

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Solution

The third proportional to 2,605,014 and 5,631,228 is: 12,172,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,014 : 5,631,228 = 5,631,228 : x
  2. Step 2: Convert to fraction form
    2,605,014/5,631,228 = 5,631,228/x
  3. Step 3: Cross multiply
    2,605,014x = 5,631,228 × 5,631,228
  4. Step 4: Simplify right side
    2,605,014x = 31,710,728,787,984
  5. Step 5: Solve for x
    x = 31,710,728,787,984/2,605,014
  6. Step 6: Final answer
    x = 12,172,959.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.