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Finding the Third Proportional to 984,028.50 and 1,606,829.91

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Solution

The third proportional to 984,028.50 and 1,606,829.91 is: 2,623,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,028.50 : 1,606,829.91 = 1,606,829.91 : x
  2. Step 2: Convert to fraction form
    984,028.50/1,606,829.91 = 1,606,829.91/x
  3. Step 3: Cross multiply
    984,028.50x = 1,606,829.91 × 1,606,829.91
  4. Step 4: Simplify right side
    984,028.50x = 2,581,902,347,619.38
  5. Step 5: Solve for x
    x = 2,581,902,347,619.38/984,028.50
  6. Step 6: Final answer
    x = 2,623,808.51

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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.