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Finding the Third Proportional to 2,082,805 and 4,565,102

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Solution

The third proportional to 2,082,805 and 4,565,102 is: 10,005,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,805 : 4,565,102 = 4,565,102 : x
  2. Step 2: Convert to fraction form
    2,082,805/4,565,102 = 4,565,102/x
  3. Step 3: Cross multiply
    2,082,805x = 4,565,102 × 4,565,102
  4. Step 4: Simplify right side
    2,082,805x = 20,840,156,270,404
  5. Step 5: Solve for x
    x = 20,840,156,270,404/2,082,805
  6. Step 6: Final answer
    x = 10,005,812.48

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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.