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Finding the Third Proportional to 767,740 and 1,652,120

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Solution

The third proportional to 767,740 and 1,652,120 is: 3,555,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,740 : 1,652,120 = 1,652,120 : x
  2. Step 2: Convert to fraction form
    767,740/1,652,120 = 1,652,120/x
  3. Step 3: Cross multiply
    767,740x = 1,652,120 × 1,652,120
  4. Step 4: Simplify right side
    767,740x = 2,729,500,494,400
  5. Step 5: Solve for x
    x = 2,729,500,494,400/767,740
  6. Step 6: Final answer
    x = 3,555,240.70

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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.