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Finding the Third Proportional to 2,276,640.38 and 4,644,728.63

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Solution

The third proportional to 2,276,640.38 and 4,644,728.63 is: 9,476,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,640.38 : 4,644,728.63 = 4,644,728.63 : x
  2. Step 2: Convert to fraction form
    2,276,640.38/4,644,728.63 = 4,644,728.63/x
  3. Step 3: Cross multiply
    2,276,640.38x = 4,644,728.63 × 4,644,728.63
  4. Step 4: Simplify right side
    2,276,640.38x = 21,573,503,999,894.39
  5. Step 5: Solve for x
    x = 21,573,503,999,894.39/2,276,640.38
  6. Step 6: Final answer
    x = 9,476,026.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.