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Finding the Third Proportional to 501,147 and 1,079,840.25

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Solution

The third proportional to 501,147 and 1,079,840.25 is: 2,326,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,147 : 1,079,840.25 = 1,079,840.25 : x
  2. Step 2: Convert to fraction form
    501,147/1,079,840.25 = 1,079,840.25/x
  3. Step 3: Cross multiply
    501,147x = 1,079,840.25 × 1,079,840.25
  4. Step 4: Simplify right side
    501,147x = 1,166,054,965,520.06
  5. Step 5: Solve for x
    x = 1,166,054,965,520.06/501,147
  6. Step 6: Final answer
    x = 2,326,772.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.