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Finding the Third Proportional to 2,082,380 and 4,563,610

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Solution

The third proportional to 2,082,380 and 4,563,610 is: 10,001,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,380 : 4,563,610 = 4,563,610 : x
  2. Step 2: Convert to fraction form
    2,082,380/4,563,610 = 4,563,610/x
  3. Step 3: Cross multiply
    2,082,380x = 4,563,610 × 4,563,610
  4. Step 4: Simplify right side
    2,082,380x = 20,826,536,232,100
  5. Step 5: Solve for x
    x = 20,826,536,232,100/2,082,380
  6. Step 6: Final answer
    x = 10,001,313.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.