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Finding the Third Proportional to 1,970,085 and 4,177,398

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Solution

The third proportional to 1,970,085 and 4,177,398 is: 8,857,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,085 : 4,177,398 = 4,177,398 : x
  2. Step 2: Convert to fraction form
    1,970,085/4,177,398 = 4,177,398/x
  3. Step 3: Cross multiply
    1,970,085x = 4,177,398 × 4,177,398
  4. Step 4: Simplify right side
    1,970,085x = 17,450,654,050,404
  5. Step 5: Solve for x
    x = 17,450,654,050,404/1,970,085
  6. Step 6: Final answer
    x = 8,857,817.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.