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Finding the Third Proportional to 914,586 and 1,969,644

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Solution

The third proportional to 914,586 and 1,969,644 is: 4,241,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,586 : 1,969,644 = 1,969,644 : x
  2. Step 2: Convert to fraction form
    914,586/1,969,644 = 1,969,644/x
  3. Step 3: Cross multiply
    914,586x = 1,969,644 × 1,969,644
  4. Step 4: Simplify right side
    914,586x = 3,879,497,486,736
  5. Step 5: Solve for x
    x = 3,879,497,486,736/914,586
  6. Step 6: Final answer
    x = 4,241,807.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.