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Finding the Third Proportional to 2,413,226 and 4,765,540

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Solution

The third proportional to 2,413,226 and 4,765,540 is: 9,410,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,226 : 4,765,540 = 4,765,540 : x
  2. Step 2: Convert to fraction form
    2,413,226/4,765,540 = 4,765,540/x
  3. Step 3: Cross multiply
    2,413,226x = 4,765,540 × 4,765,540
  4. Step 4: Simplify right side
    2,413,226x = 22,710,371,491,600
  5. Step 5: Solve for x
    x = 22,710,371,491,600/2,413,226
  6. Step 6: Final answer
    x = 9,410,793.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.