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Finding the Third Proportional to 984,069 and 1,606,908

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Solution

The third proportional to 984,069 and 1,606,908 is: 2,623,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,069 : 1,606,908 = 1,606,908 : x
  2. Step 2: Convert to fraction form
    984,069/1,606,908 = 1,606,908/x
  3. Step 3: Cross multiply
    984,069x = 1,606,908 × 1,606,908
  4. Step 4: Simplify right side
    984,069x = 2,582,153,320,464
  5. Step 5: Solve for x
    x = 2,582,153,320,464/984,069
  6. Step 6: Final answer
    x = 2,623,955.56

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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.