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Finding the Third Proportional to 676,034 and 1,463,620

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Solution

The third proportional to 676,034 and 1,463,620 is: 3,168,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,034 : 1,463,620 = 1,463,620 : x
  2. Step 2: Convert to fraction form
    676,034/1,463,620 = 1,463,620/x
  3. Step 3: Cross multiply
    676,034x = 1,463,620 × 1,463,620
  4. Step 4: Simplify right side
    676,034x = 2,142,183,504,400
  5. Step 5: Solve for x
    x = 2,142,183,504,400/676,034
  6. Step 6: Final answer
    x = 3,168,751.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.