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Finding the Third Proportional to 449,088 and 986,736

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Solution

The third proportional to 449,088 and 986,736 is: 2,168,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,088 : 986,736 = 986,736 : x
  2. Step 2: Convert to fraction form
    449,088/986,736 = 986,736/x
  3. Step 3: Cross multiply
    449,088x = 986,736 × 986,736
  4. Step 4: Simplify right side
    449,088x = 973,647,933,696
  5. Step 5: Solve for x
    x = 973,647,933,696/449,088
  6. Step 6: Final answer
    x = 2,168,056.00

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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.