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Finding the Third Proportional to 936,936 and 2,083,464

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Solution

The third proportional to 936,936 and 2,083,464 is: 4,632,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,936 : 2,083,464 = 2,083,464 : x
  2. Step 2: Convert to fraction form
    936,936/2,083,464 = 2,083,464/x
  3. Step 3: Cross multiply
    936,936x = 2,083,464 × 2,083,464
  4. Step 4: Simplify right side
    936,936x = 4,340,822,239,296
  5. Step 5: Solve for x
    x = 4,340,822,239,296/936,936
  6. Step 6: Final answer
    x = 4,632,997.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.