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Finding the Third Proportional to 446,199 and 980,970

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Solution

The third proportional to 446,199 and 980,970 is: 2,156,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,199 : 980,970 = 980,970 : x
  2. Step 2: Convert to fraction form
    446,199/980,970 = 980,970/x
  3. Step 3: Cross multiply
    446,199x = 980,970 × 980,970
  4. Step 4: Simplify right side
    446,199x = 962,302,140,900
  5. Step 5: Solve for x
    x = 962,302,140,900/446,199
  6. Step 6: Final answer
    x = 2,156,665.84

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