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Finding the Third Proportional to 859,760 and 2,022,284

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Solution

The third proportional to 859,760 and 2,022,284 is: 4,756,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,760 : 2,022,284 = 2,022,284 : x
  2. Step 2: Convert to fraction form
    859,760/2,022,284 = 2,022,284/x
  3. Step 3: Cross multiply
    859,760x = 2,022,284 × 2,022,284
  4. Step 4: Simplify right side
    859,760x = 4,089,632,576,656
  5. Step 5: Solve for x
    x = 4,089,632,576,656/859,760
  6. Step 6: Final answer
    x = 4,756,714.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.