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Finding the Third Proportional to 853,108 and 1,974,980

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Solution

The third proportional to 853,108 and 1,974,980 is: 4,572,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,108 : 1,974,980 = 1,974,980 : x
  2. Step 2: Convert to fraction form
    853,108/1,974,980 = 1,974,980/x
  3. Step 3: Cross multiply
    853,108x = 1,974,980 × 1,974,980
  4. Step 4: Simplify right side
    853,108x = 3,900,546,000,400
  5. Step 5: Solve for x
    x = 3,900,546,000,400/853,108
  6. Step 6: Final answer
    x = 4,572,159.68

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.