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Finding the Third Proportional to 3,436,480 and 5,049,504

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Solution

The third proportional to 3,436,480 and 5,049,504 is: 7,419,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,480 : 5,049,504 = 5,049,504 : x
  2. Step 2: Convert to fraction form
    3,436,480/5,049,504 = 5,049,504/x
  3. Step 3: Cross multiply
    3,436,480x = 5,049,504 × 5,049,504
  4. Step 4: Simplify right side
    3,436,480x = 25,497,490,646,016
  5. Step 5: Solve for x
    x = 25,497,490,646,016/3,436,480
  6. Step 6: Final answer
    x = 7,419,653.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.