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Finding the Third Proportional to 1,778,600 and 3,894,512

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Solution

The third proportional to 1,778,600 and 3,894,512 is: 8,527,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,600 : 3,894,512 = 3,894,512 : x
  2. Step 2: Convert to fraction form
    1,778,600/3,894,512 = 3,894,512/x
  3. Step 3: Cross multiply
    1,778,600x = 3,894,512 × 3,894,512
  4. Step 4: Simplify right side
    1,778,600x = 15,167,223,718,144
  5. Step 5: Solve for x
    x = 15,167,223,718,144/1,778,600
  6. Step 6: Final answer
    x = 8,527,619.32

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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.