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Finding the Third Proportional to 448,152 and 980,214

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Solution

The third proportional to 448,152 and 980,214 is: 2,143,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,152 : 980,214 = 980,214 : x
  2. Step 2: Convert to fraction form
    448,152/980,214 = 980,214/x
  3. Step 3: Cross multiply
    448,152x = 980,214 × 980,214
  4. Step 4: Simplify right side
    448,152x = 960,819,485,796
  5. Step 5: Solve for x
    x = 960,819,485,796/448,152
  6. Step 6: Final answer
    x = 2,143,958.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.