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Finding the Third Proportional to 980,759 and 2,101,486

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Solution

The third proportional to 980,759 and 2,101,486 is: 4,502,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,759 : 2,101,486 = 2,101,486 : x
  2. Step 2: Convert to fraction form
    980,759/2,101,486 = 2,101,486/x
  3. Step 3: Cross multiply
    980,759x = 2,101,486 × 2,101,486
  4. Step 4: Simplify right side
    980,759x = 4,416,243,408,196
  5. Step 5: Solve for x
    x = 4,416,243,408,196/980,759
  6. Step 6: Final answer
    x = 4,502,883.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.