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Finding the Third Proportional to 2,492,610 and 5,405,124

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Solution

The third proportional to 2,492,610 and 5,405,124 is: 11,720,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,610 : 5,405,124 = 5,405,124 : x
  2. Step 2: Convert to fraction form
    2,492,610/5,405,124 = 5,405,124/x
  3. Step 3: Cross multiply
    2,492,610x = 5,405,124 × 5,405,124
  4. Step 4: Simplify right side
    2,492,610x = 29,215,365,455,376
  5. Step 5: Solve for x
    x = 29,215,365,455,376/2,492,610
  6. Step 6: Final answer
    x = 11,720,792.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.