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Finding the Third Proportional to 2,413,920 and 5,026,260

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Solution

The third proportional to 2,413,920 and 5,026,260 is: 10,465,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,920 : 5,026,260 = 5,026,260 : x
  2. Step 2: Convert to fraction form
    2,413,920/5,026,260 = 5,026,260/x
  3. Step 3: Cross multiply
    2,413,920x = 5,026,260 × 5,026,260
  4. Step 4: Simplify right side
    2,413,920x = 25,263,289,587,600
  5. Step 5: Solve for x
    x = 25,263,289,587,600/2,413,920
  6. Step 6: Final answer
    x = 10,465,669.78

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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.