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Finding the Third Proportional to 982,638 and 2,083,370

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Solution

The third proportional to 982,638 and 2,083,370 is: 4,417,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,638 : 2,083,370 = 2,083,370 : x
  2. Step 2: Convert to fraction form
    982,638/2,083,370 = 2,083,370/x
  3. Step 3: Cross multiply
    982,638x = 2,083,370 × 2,083,370
  4. Step 4: Simplify right side
    982,638x = 4,340,430,556,900
  5. Step 5: Solve for x
    x = 4,340,430,556,900/982,638
  6. Step 6: Final answer
    x = 4,417,120.60

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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.