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Finding the Third Proportional to 914,584 and 1,969,640

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Solution

The third proportional to 914,584 and 1,969,640 is: 4,241,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,584 : 1,969,640 = 1,969,640 : x
  2. Step 2: Convert to fraction form
    914,584/1,969,640 = 1,969,640/x
  3. Step 3: Cross multiply
    914,584x = 1,969,640 × 1,969,640
  4. Step 4: Simplify right side
    914,584x = 3,879,481,729,600
  5. Step 5: Solve for x
    x = 3,879,481,729,600/914,584
  6. Step 6: Final answer
    x = 4,241,799.25

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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.