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Finding the Third Proportional to 2,510,714 and 5,490,904

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Solution

The third proportional to 2,510,714 and 5,490,904 is: 12,008,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,714 : 5,490,904 = 5,490,904 : x
  2. Step 2: Convert to fraction form
    2,510,714/5,490,904 = 5,490,904/x
  3. Step 3: Cross multiply
    2,510,714x = 5,490,904 × 5,490,904
  4. Step 4: Simplify right side
    2,510,714x = 30,150,026,737,216
  5. Step 5: Solve for x
    x = 30,150,026,737,216/2,510,714
  6. Step 6: Final answer
    x = 12,008,546.87

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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.