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Finding the Third Proportional to 823,968 and 1,273,284

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Solution

The third proportional to 823,968 and 1,273,284 is: 1,967,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,968 : 1,273,284 = 1,273,284 : x
  2. Step 2: Convert to fraction form
    823,968/1,273,284 = 1,273,284/x
  3. Step 3: Cross multiply
    823,968x = 1,273,284 × 1,273,284
  4. Step 4: Simplify right side
    823,968x = 1,621,252,144,656
  5. Step 5: Solve for x
    x = 1,621,252,144,656/823,968
  6. Step 6: Final answer
    x = 1,967,615.42

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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.