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Finding the Third Proportional to 913,296 and 1,980,768

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Solution

The third proportional to 913,296 and 1,980,768 is: 4,295,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,296 : 1,980,768 = 1,980,768 : x
  2. Step 2: Convert to fraction form
    913,296/1,980,768 = 1,980,768/x
  3. Step 3: Cross multiply
    913,296x = 1,980,768 × 1,980,768
  4. Step 4: Simplify right side
    913,296x = 3,923,441,869,824
  5. Step 5: Solve for x
    x = 3,923,441,869,824/913,296
  6. Step 6: Final answer
    x = 4,295,914.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.