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Finding the Third Proportional to 2,413,656 and 5,288,223

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Solution

The third proportional to 2,413,656 and 5,288,223 is: 11,586,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,656 : 5,288,223 = 5,288,223 : x
  2. Step 2: Convert to fraction form
    2,413,656/5,288,223 = 5,288,223/x
  3. Step 3: Cross multiply
    2,413,656x = 5,288,223 × 5,288,223
  4. Step 4: Simplify right side
    2,413,656x = 27,965,302,497,729
  5. Step 5: Solve for x
    x = 27,965,302,497,729/2,413,656
  6. Step 6: Final answer
    x = 11,586,283.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.