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Finding the Third Proportional to 2,102,401 and 4,611,742

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Solution

The third proportional to 2,102,401 and 4,611,742 is: 10,116,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,401 : 4,611,742 = 4,611,742 : x
  2. Step 2: Convert to fraction form
    2,102,401/4,611,742 = 4,611,742/x
  3. Step 3: Cross multiply
    2,102,401x = 4,611,742 × 4,611,742
  4. Step 4: Simplify right side
    2,102,401x = 21,268,164,274,564
  5. Step 5: Solve for x
    x = 21,268,164,274,564/2,102,401
  6. Step 6: Final answer
    x = 10,116,131.16

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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.