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Finding the Third Proportional to 771,033 and 1,670,775

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Solution

The third proportional to 771,033 and 1,670,775 is: 3,620,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,033 : 1,670,775 = 1,670,775 : x
  2. Step 2: Convert to fraction form
    771,033/1,670,775 = 1,670,775/x
  3. Step 3: Cross multiply
    771,033x = 1,670,775 × 1,670,775
  4. Step 4: Simplify right side
    771,033x = 2,791,489,100,625
  5. Step 5: Solve for x
    x = 2,791,489,100,625/771,033
  6. Step 6: Final answer
    x = 3,620,453.47

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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.