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Finding the Third Proportional to 856,777 and 1,881,677

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Solution

The third proportional to 856,777 and 1,881,677 is: 4,132,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,777 : 1,881,677 = 1,881,677 : x
  2. Step 2: Convert to fraction form
    856,777/1,881,677 = 1,881,677/x
  3. Step 3: Cross multiply
    856,777x = 1,881,677 × 1,881,677
  4. Step 4: Simplify right side
    856,777x = 3,540,708,332,329
  5. Step 5: Solve for x
    x = 3,540,708,332,329/856,777
  6. Step 6: Final answer
    x = 4,132,590.32

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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.