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Finding the Third Proportional to 2,682,516 and 5,822,304

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Solution

The third proportional to 2,682,516 and 5,822,304 is: 12,637,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,516 : 5,822,304 = 5,822,304 : x
  2. Step 2: Convert to fraction form
    2,682,516/5,822,304 = 5,822,304/x
  3. Step 3: Cross multiply
    2,682,516x = 5,822,304 × 5,822,304
  4. Step 4: Simplify right side
    2,682,516x = 33,899,223,868,416
  5. Step 5: Solve for x
    x = 33,899,223,868,416/2,682,516
  6. Step 6: Final answer
    x = 12,637,100.34

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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.