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Finding the Third Proportional to 2,401,584 and 3,651,916

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Solution

The third proportional to 2,401,584 and 3,651,916 is: 5,553,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,584 : 3,651,916 = 3,651,916 : x
  2. Step 2: Convert to fraction form
    2,401,584/3,651,916 = 3,651,916/x
  3. Step 3: Cross multiply
    2,401,584x = 3,651,916 × 3,651,916
  4. Step 4: Simplify right side
    2,401,584x = 13,336,490,471,056
  5. Step 5: Solve for x
    x = 13,336,490,471,056/2,401,584
  6. Step 6: Final answer
    x = 5,553,205.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.