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Finding the Third Proportional to 2,522,984 and 5,376,276

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Solution

The third proportional to 2,522,984 and 5,376,276 is: 11,456,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522,984 : 5,376,276 = 5,376,276 : x
  2. Step 2: Convert to fraction form
    2,522,984/5,376,276 = 5,376,276/x
  3. Step 3: Cross multiply
    2,522,984x = 5,376,276 × 5,376,276
  4. Step 4: Simplify right side
    2,522,984x = 28,904,343,628,176
  5. Step 5: Solve for x
    x = 28,904,343,628,176/2,522,984
  6. Step 6: Final answer
    x = 11,456,411.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.