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Finding the Third Proportional to 2,508,120 and 5,487,408

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Solution

The third proportional to 2,508,120 and 5,487,408 is: 12,005,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508,120 : 5,487,408 = 5,487,408 : x
  2. Step 2: Convert to fraction form
    2,508,120/5,487,408 = 5,487,408/x
  3. Step 3: Cross multiply
    2,508,120x = 5,487,408 × 5,487,408
  4. Step 4: Simplify right side
    2,508,120x = 30,111,646,558,464
  5. Step 5: Solve for x
    x = 30,111,646,558,464/2,508,120
  6. Step 6: Final answer
    x = 12,005,664.23

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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.