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Finding the Third Proportional to 982,564 and 2,083,221

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Solution

The third proportional to 982,564 and 2,083,221 is: 4,416,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,564 : 2,083,221 = 2,083,221 : x
  2. Step 2: Convert to fraction form
    982,564/2,083,221 = 2,083,221/x
  3. Step 3: Cross multiply
    982,564x = 2,083,221 × 2,083,221
  4. Step 4: Simplify right side
    982,564x = 4,339,809,734,841
  5. Step 5: Solve for x
    x = 4,339,809,734,841/982,564
  6. Step 6: Final answer
    x = 4,416,821.43

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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.