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Finding the Third Proportional to 767,733 and 1,652,106

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Solution

The third proportional to 767,733 and 1,652,106 is: 3,555,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,733 : 1,652,106 = 1,652,106 : x
  2. Step 2: Convert to fraction form
    767,733/1,652,106 = 1,652,106/x
  3. Step 3: Cross multiply
    767,733x = 1,652,106 × 1,652,106
  4. Step 4: Simplify right side
    767,733x = 2,729,454,235,236
  5. Step 5: Solve for x
    x = 2,729,454,235,236/767,733
  6. Step 6: Final answer
    x = 3,555,212.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.