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Finding the Third Proportional to 892,556 and 1,962,016

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Solution

The third proportional to 892,556 and 1,962,016 is: 4,312,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,556 : 1,962,016 = 1,962,016 : x
  2. Step 2: Convert to fraction form
    892,556/1,962,016 = 1,962,016/x
  3. Step 3: Cross multiply
    892,556x = 1,962,016 × 1,962,016
  4. Step 4: Simplify right side
    892,556x = 3,849,506,784,256
  5. Step 5: Solve for x
    x = 3,849,506,784,256/892,556
  6. Step 6: Final answer
    x = 4,312,902.25

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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.