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Finding the Third Proportional to 930,630 and 1,493,127

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Solution

The third proportional to 930,630 and 1,493,127 is: 2,395,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,630 : 1,493,127 = 1,493,127 : x
  2. Step 2: Convert to fraction form
    930,630/1,493,127 = 1,493,127/x
  3. Step 3: Cross multiply
    930,630x = 1,493,127 × 1,493,127
  4. Step 4: Simplify right side
    930,630x = 2,229,428,238,129
  5. Step 5: Solve for x
    x = 2,229,428,238,129/930,630
  6. Step 6: Final answer
    x = 2,395,611.83

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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.