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Finding the Third Proportional to 446,258 and 980,968

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Solution

The third proportional to 446,258 and 980,968 is: 2,156,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,258 : 980,968 = 980,968 : x
  2. Step 2: Convert to fraction form
    446,258/980,968 = 980,968/x
  3. Step 3: Cross multiply
    446,258x = 980,968 × 980,968
  4. Step 4: Simplify right side
    446,258x = 962,298,217,024
  5. Step 5: Solve for x
    x = 962,298,217,024/446,258
  6. Step 6: Final answer
    x = 2,156,371.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.