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Finding the Third Proportional to 2,198,880 and 4,730,184

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Solution

The third proportional to 2,198,880 and 4,730,184 is: 10,175,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,880 : 4,730,184 = 4,730,184 : x
  2. Step 2: Convert to fraction form
    2,198,880/4,730,184 = 4,730,184/x
  3. Step 3: Cross multiply
    2,198,880x = 4,730,184 × 4,730,184
  4. Step 4: Simplify right side
    2,198,880x = 22,374,640,673,856
  5. Step 5: Solve for x
    x = 22,374,640,673,856/2,198,880
  6. Step 6: Final answer
    x = 10,175,471.46

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