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Finding the Third Proportional to 743,699 and 1,629,742

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Solution

The third proportional to 743,699 and 1,629,742 is: 3,571,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,699 : 1,629,742 = 1,629,742 : x
  2. Step 2: Convert to fraction form
    743,699/1,629,742 = 1,629,742/x
  3. Step 3: Cross multiply
    743,699x = 1,629,742 × 1,629,742
  4. Step 4: Simplify right side
    743,699x = 2,656,058,986,564
  5. Step 5: Solve for x
    x = 2,656,058,986,564/743,699
  6. Step 6: Final answer
    x = 3,571,416.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.