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Finding the Third Proportional to 982,627 and 2,083,358

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Solution

The third proportional to 982,627 and 2,083,358 is: 4,417,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,627 : 2,083,358 = 2,083,358 : x
  2. Step 2: Convert to fraction form
    982,627/2,083,358 = 2,083,358/x
  3. Step 3: Cross multiply
    982,627x = 2,083,358 × 2,083,358
  4. Step 4: Simplify right side
    982,627x = 4,340,380,556,164
  5. Step 5: Solve for x
    x = 4,340,380,556,164/982,627
  6. Step 6: Final answer
    x = 4,417,119.17

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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.