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Finding the Third Proportional to 1,785,905 and 2,682,907

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Solution

The third proportional to 1,785,905 and 2,682,907 is: 4,030,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,905 : 2,682,907 = 2,682,907 : x
  2. Step 2: Convert to fraction form
    1,785,905/2,682,907 = 2,682,907/x
  3. Step 3: Cross multiply
    1,785,905x = 2,682,907 × 2,682,907
  4. Step 4: Simplify right side
    1,785,905x = 7,197,989,970,649
  5. Step 5: Solve for x
    x = 7,197,989,970,649/1,785,905
  6. Step 6: Final answer
    x = 4,030,443.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.