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Finding the Third Proportional to 892,512 and 1,961,928

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Solution

The third proportional to 892,512 and 1,961,928 is: 4,312,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,512 : 1,961,928 = 1,961,928 : x
  2. Step 2: Convert to fraction form
    892,512/1,961,928 = 1,961,928/x
  3. Step 3: Cross multiply
    892,512x = 1,961,928 × 1,961,928
  4. Step 4: Simplify right side
    892,512x = 3,849,161,477,184
  5. Step 5: Solve for x
    x = 3,849,161,477,184/892,512
  6. Step 6: Final answer
    x = 4,312,727.98

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