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Finding the Third Proportional to 2,251,824 and 4,595,328

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Solution

The third proportional to 2,251,824 and 4,595,328 is: 9,377,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,824 : 4,595,328 = 4,595,328 : x
  2. Step 2: Convert to fraction form
    2,251,824/4,595,328 = 4,595,328/x
  3. Step 3: Cross multiply
    2,251,824x = 4,595,328 × 4,595,328
  4. Step 4: Simplify right side
    2,251,824x = 21,117,039,427,584
  5. Step 5: Solve for x
    x = 21,117,039,427,584/2,251,824
  6. Step 6: Final answer
    x = 9,377,748.63

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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.