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Finding the Third Proportional to 772,934 and 1,652,012

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Solution

The third proportional to 772,934 and 1,652,012 is: 3,530,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,934 : 1,652,012 = 1,652,012 : x
  2. Step 2: Convert to fraction form
    772,934/1,652,012 = 1,652,012/x
  3. Step 3: Cross multiply
    772,934x = 1,652,012 × 1,652,012
  4. Step 4: Simplify right side
    772,934x = 2,729,143,648,144
  5. Step 5: Solve for x
    x = 2,729,143,648,144/772,934
  6. Step 6: Final answer
    x = 3,530,888.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.