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Finding the Third Proportional to 750,735 and 1,633,662

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Solution

The third proportional to 750,735 and 1,633,662 is: 3,554,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,735 : 1,633,662 = 1,633,662 : x
  2. Step 2: Convert to fraction form
    750,735/1,633,662 = 1,633,662/x
  3. Step 3: Cross multiply
    750,735x = 1,633,662 × 1,633,662
  4. Step 4: Simplify right side
    750,735x = 2,668,851,530,244
  5. Step 5: Solve for x
    x = 2,668,851,530,244/750,735
  6. Step 6: Final answer
    x = 3,554,984.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.