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Finding the Third Proportional to 756,759 and 1,628,322

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Solution

The third proportional to 756,759 and 1,628,322 is: 3,503,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,759 : 1,628,322 = 1,628,322 : x
  2. Step 2: Convert to fraction form
    756,759/1,628,322 = 1,628,322/x
  3. Step 3: Cross multiply
    756,759x = 1,628,322 × 1,628,322
  4. Step 4: Simplify right side
    756,759x = 2,651,432,535,684
  5. Step 5: Solve for x
    x = 2,651,432,535,684/756,759
  6. Step 6: Final answer
    x = 3,503,668.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.