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Finding the Third Proportional to 984,080 and 1,606,924

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Solution

The third proportional to 984,080 and 1,606,924 is: 2,623,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,080 : 1,606,924 = 1,606,924 : x
  2. Step 2: Convert to fraction form
    984,080/1,606,924 = 1,606,924/x
  3. Step 3: Cross multiply
    984,080x = 1,606,924 × 1,606,924
  4. Step 4: Simplify right side
    984,080x = 2,582,204,741,776
  5. Step 5: Solve for x
    x = 2,582,204,741,776/984,080
  6. Step 6: Final answer
    x = 2,623,978.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.