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Finding the Third Proportional to 599,698 and 1,415,677

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Solution

The third proportional to 599,698 and 1,415,677 is: 3,341,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,698 : 1,415,677 = 1,415,677 : x
  2. Step 2: Convert to fraction form
    599,698/1,415,677 = 1,415,677/x
  3. Step 3: Cross multiply
    599,698x = 1,415,677 × 1,415,677
  4. Step 4: Simplify right side
    599,698x = 2,004,141,368,329
  5. Step 5: Solve for x
    x = 2,004,141,368,329/599,698
  6. Step 6: Final answer
    x = 3,341,917.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.