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Finding the Third Proportional to 685,856 and 925,185

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Solution

The third proportional to 685,856 and 925,185 is: 1,248,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,856 : 925,185 = 925,185 : x
  2. Step 2: Convert to fraction form
    685,856/925,185 = 925,185/x
  3. Step 3: Cross multiply
    685,856x = 925,185 × 925,185
  4. Step 4: Simplify right side
    685,856x = 855,967,284,225
  5. Step 5: Solve for x
    x = 855,967,284,225/685,856
  6. Step 6: Final answer
    x = 1,248,027.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.