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Finding the Third Proportional to 2,281,680 and 4,856,992

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Solution

The third proportional to 2,281,680 and 4,856,992 is: 10,339,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,680 : 4,856,992 = 4,856,992 : x
  2. Step 2: Convert to fraction form
    2,281,680/4,856,992 = 4,856,992/x
  3. Step 3: Cross multiply
    2,281,680x = 4,856,992 × 4,856,992
  4. Step 4: Simplify right side
    2,281,680x = 23,590,371,288,064
  5. Step 5: Solve for x
    x = 23,590,371,288,064/2,281,680
  6. Step 6: Final answer
    x = 10,339,035.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.