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Finding the Third Proportional to 2,670,208 and 5,738,537

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Solution

The third proportional to 2,670,208 and 5,738,537 is: 12,332,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,208 : 5,738,537 = 5,738,537 : x
  2. Step 2: Convert to fraction form
    2,670,208/5,738,537 = 5,738,537/x
  3. Step 3: Cross multiply
    2,670,208x = 5,738,537 × 5,738,537
  4. Step 4: Simplify right side
    2,670,208x = 32,930,806,900,369
  5. Step 5: Solve for x
    x = 32,930,806,900,369/2,670,208
  6. Step 6: Final answer
    x = 12,332,674.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.