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Finding the Third Proportional to 637,211 and 1,377,670

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Solution

The third proportional to 637,211 and 1,377,670 is: 2,978,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,211 : 1,377,670 = 1,377,670 : x
  2. Step 2: Convert to fraction form
    637,211/1,377,670 = 1,377,670/x
  3. Step 3: Cross multiply
    637,211x = 1,377,670 × 1,377,670
  4. Step 4: Simplify right side
    637,211x = 1,897,974,628,900
  5. Step 5: Solve for x
    x = 1,897,974,628,900/637,211
  6. Step 6: Final answer
    x = 2,978,565.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.