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Finding the Third Proportional to 982,716 and 2,083,530

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Solution

The third proportional to 982,716 and 2,083,530 is: 4,417,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,716 : 2,083,530 = 2,083,530 : x
  2. Step 2: Convert to fraction form
    982,716/2,083,530 = 2,083,530/x
  3. Step 3: Cross multiply
    982,716x = 2,083,530 × 2,083,530
  4. Step 4: Simplify right side
    982,716x = 4,341,097,260,900
  5. Step 5: Solve for x
    x = 4,341,097,260,900/982,716
  6. Step 6: Final answer
    x = 4,417,448.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.