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Finding the Third Proportional to 757,069 and 1,163,668

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Solution

The third proportional to 757,069 and 1,163,668 is: 1,788,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,069 : 1,163,668 = 1,163,668 : x
  2. Step 2: Convert to fraction form
    757,069/1,163,668 = 1,163,668/x
  3. Step 3: Cross multiply
    757,069x = 1,163,668 × 1,163,668
  4. Step 4: Simplify right side
    757,069x = 1,354,123,214,224
  5. Step 5: Solve for x
    x = 1,354,123,214,224/757,069
  6. Step 6: Final answer
    x = 1,788,639.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.