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Finding the Third Proportional to 739,809 and 1,616,598

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Solution

The third proportional to 739,809 and 1,616,598 is: 3,532,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,809 : 1,616,598 = 1,616,598 : x
  2. Step 2: Convert to fraction form
    739,809/1,616,598 = 1,616,598/x
  3. Step 3: Cross multiply
    739,809x = 1,616,598 × 1,616,598
  4. Step 4: Simplify right side
    739,809x = 2,613,389,093,604
  5. Step 5: Solve for x
    x = 2,613,389,093,604/739,809
  6. Step 6: Final answer
    x = 3,532,518.65

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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.