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Finding the Third Proportional to 883,296 and 1,906,560

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Solution

The third proportional to 883,296 and 1,906,560 is: 4,115,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,296 : 1,906,560 = 1,906,560 : x
  2. Step 2: Convert to fraction form
    883,296/1,906,560 = 1,906,560/x
  3. Step 3: Cross multiply
    883,296x = 1,906,560 × 1,906,560
  4. Step 4: Simplify right side
    883,296x = 3,634,971,033,600
  5. Step 5: Solve for x
    x = 3,634,971,033,600/883,296
  6. Step 6: Final answer
    x = 4,115,235.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.