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Finding the Third Proportional to 2,086,590 and 4,571,700

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Solution

The third proportional to 2,086,590 and 4,571,700 is: 10,016,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,590 : 4,571,700 = 4,571,700 : x
  2. Step 2: Convert to fraction form
    2,086,590/4,571,700 = 4,571,700/x
  3. Step 3: Cross multiply
    2,086,590x = 4,571,700 × 4,571,700
  4. Step 4: Simplify right side
    2,086,590x = 20,900,440,890,000
  5. Step 5: Solve for x
    x = 20,900,440,890,000/2,086,590
  6. Step 6: Final answer
    x = 10,016,553.75

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