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Finding the Third Proportional to 612,144 and 950,148

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Solution

The third proportional to 612,144 and 950,148 is: 1,474,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,144 : 950,148 = 950,148 : x
  2. Step 2: Convert to fraction form
    612,144/950,148 = 950,148/x
  3. Step 3: Cross multiply
    612,144x = 950,148 × 950,148
  4. Step 4: Simplify right side
    612,144x = 902,781,221,904
  5. Step 5: Solve for x
    x = 902,781,221,904/612,144
  6. Step 6: Final answer
    x = 1,474,785.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.