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Finding the Third Proportional to 2,414,114 and 5,026,516

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Solution

The third proportional to 2,414,114 and 5,026,516 is: 10,465,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,114 : 5,026,516 = 5,026,516 : x
  2. Step 2: Convert to fraction form
    2,414,114/5,026,516 = 5,026,516/x
  3. Step 3: Cross multiply
    2,414,114x = 5,026,516 × 5,026,516
  4. Step 4: Simplify right side
    2,414,114x = 25,265,863,098,256
  5. Step 5: Solve for x
    x = 25,265,863,098,256/2,414,114
  6. Step 6: Final answer
    x = 10,465,894.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.