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Finding the Third Proportional to 892,421 and 1,740,004

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Solution

The third proportional to 892,421 and 1,740,004 is: 3,392,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,421 : 1,740,004 = 1,740,004 : x
  2. Step 2: Convert to fraction form
    892,421/1,740,004 = 1,740,004/x
  3. Step 3: Cross multiply
    892,421x = 1,740,004 × 1,740,004
  4. Step 4: Simplify right side
    892,421x = 3,027,613,920,016
  5. Step 5: Solve for x
    x = 3,027,613,920,016/892,421
  6. Step 6: Final answer
    x = 3,392,584.80

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.