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Finding the Third Proportional to 1,776,638 and 3,907,489

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Solution

The third proportional to 1,776,638 and 3,907,489 is: 8,594,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,638 : 3,907,489 = 3,907,489 : x
  2. Step 2: Convert to fraction form
    1,776,638/3,907,489 = 3,907,489/x
  3. Step 3: Cross multiply
    1,776,638x = 3,907,489 × 3,907,489
  4. Step 4: Simplify right side
    1,776,638x = 15,268,470,285,121
  5. Step 5: Solve for x
    x = 15,268,470,285,121/1,776,638
  6. Step 6: Final answer
    x = 8,594,024.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.