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Finding the Third Proportional to 2,086,560 and 4,571,640

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Solution

The third proportional to 2,086,560 and 4,571,640 is: 10,016,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,560 : 4,571,640 = 4,571,640 : x
  2. Step 2: Convert to fraction form
    2,086,560/4,571,640 = 4,571,640/x
  3. Step 3: Cross multiply
    2,086,560x = 4,571,640 × 4,571,640
  4. Step 4: Simplify right side
    2,086,560x = 20,899,892,289,600
  5. Step 5: Solve for x
    x = 20,899,892,289,600/2,086,560
  6. Step 6: Final answer
    x = 10,016,434.84

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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.