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Finding the Third Proportional to 2,258,184 and 4,843,824

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Solution

The third proportional to 2,258,184 and 4,843,824 is: 10,390,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,184 : 4,843,824 = 4,843,824 : x
  2. Step 2: Convert to fraction form
    2,258,184/4,843,824 = 4,843,824/x
  3. Step 3: Cross multiply
    2,258,184x = 4,843,824 × 4,843,824
  4. Step 4: Simplify right side
    2,258,184x = 23,462,630,942,976
  5. Step 5: Solve for x
    x = 23,462,630,942,976/2,258,184
  6. Step 6: Final answer
    x = 10,390,043.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.