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Finding the Third Proportional to 908,094 and 1,910,296

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Solution

The third proportional to 908,094 and 1,910,296 is: 4,018,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,094 : 1,910,296 = 1,910,296 : x
  2. Step 2: Convert to fraction form
    908,094/1,910,296 = 1,910,296/x
  3. Step 3: Cross multiply
    908,094x = 1,910,296 × 1,910,296
  4. Step 4: Simplify right side
    908,094x = 3,649,230,807,616
  5. Step 5: Solve for x
    x = 3,649,230,807,616/908,094
  6. Step 6: Final answer
    x = 4,018,560.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.