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Finding the Third Proportional to 2,265,040 and 4,950,128

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Solution

The third proportional to 2,265,040 and 4,950,128 is: 10,818,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,040 : 4,950,128 = 4,950,128 : x
  2. Step 2: Convert to fraction form
    2,265,040/4,950,128 = 4,950,128/x
  3. Step 3: Cross multiply
    2,265,040x = 4,950,128 × 4,950,128
  4. Step 4: Simplify right side
    2,265,040x = 24,503,767,216,384
  5. Step 5: Solve for x
    x = 24,503,767,216,384/2,265,040
  6. Step 6: Final answer
    x = 10,818,249.22

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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.