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Finding the Third Proportional to 1,069,272.14 and 2,227,015.27

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Solution

The third proportional to 1,069,272.14 and 2,227,015.27 is: 4,638,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,272.14 : 2,227,015.27 = 2,227,015.27 : x
  2. Step 2: Convert to fraction form
    1,069,272.14/2,227,015.27 = 2,227,015.27/x
  3. Step 3: Cross multiply
    1,069,272.14x = 2,227,015.27 × 2,227,015.27
  4. Step 4: Simplify right side
    1,069,272.14x = 4,959,596,993,326.79
  5. Step 5: Solve for x
    x = 4,959,596,993,326.79/1,069,272.14
  6. Step 6: Final answer
    x = 4,638,292.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.