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Finding the Third Proportional to 930,625 and 1,493,120

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Solution

The third proportional to 930,625 and 1,493,120 is: 2,395,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,625 : 1,493,120 = 1,493,120 : x
  2. Step 2: Convert to fraction form
    930,625/1,493,120 = 1,493,120/x
  3. Step 3: Cross multiply
    930,625x = 1,493,120 × 1,493,120
  4. Step 4: Simplify right side
    930,625x = 2,229,407,334,400
  5. Step 5: Solve for x
    x = 2,229,407,334,400/930,625
  6. Step 6: Final answer
    x = 2,395,602.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.