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Finding the Third Proportional to 682,933.46 and 986,636.00

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Solution

The third proportional to 682,933.46 and 986,636.00 is: 1,425,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,933.46 : 986,636.00 = 986,636.00 : x
  2. Step 2: Convert to fraction form
    682,933.46/986,636.00 = 986,636.00/x
  3. Step 3: Cross multiply
    682,933.46x = 986,636.00 × 986,636.00
  4. Step 4: Simplify right side
    682,933.46x = 973,450,604,204.09
  5. Step 5: Solve for x
    x = 973,450,604,204.09/682,933.46
  6. Step 6: Final answer
    x = 1,425,395.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.