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Finding the Third Proportional to 1,022,988 and 1,489,505

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Solution

The third proportional to 1,022,988 and 1,489,505 is: 2,168,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,988 : 1,489,505 = 1,489,505 : x
  2. Step 2: Convert to fraction form
    1,022,988/1,489,505 = 1,489,505/x
  3. Step 3: Cross multiply
    1,022,988x = 1,489,505 × 1,489,505
  4. Step 4: Simplify right side
    1,022,988x = 2,218,625,145,025
  5. Step 5: Solve for x
    x = 2,218,625,145,025/1,022,988
  6. Step 6: Final answer
    x = 2,168,769.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.