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Finding the Third Proportional to 980,993 and 2,191,581

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Solution

The third proportional to 980,993 and 2,191,581 is: 4,896,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,993 : 2,191,581 = 2,191,581 : x
  2. Step 2: Convert to fraction form
    980,993/2,191,581 = 2,191,581/x
  3. Step 3: Cross multiply
    980,993x = 2,191,581 × 2,191,581
  4. Step 4: Simplify right side
    980,993x = 4,803,027,279,561
  5. Step 5: Solve for x
    x = 4,803,027,279,561/980,993
  6. Step 6: Final answer
    x = 4,896,087.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.