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Finding the Third Proportional to 682,988.63 and 986,721.75

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Solution

The third proportional to 682,988.63 and 986,721.75 is: 1,425,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,988.63 : 986,721.75 = 986,721.75 : x
  2. Step 2: Convert to fraction form
    682,988.63/986,721.75 = 986,721.75/x
  3. Step 3: Cross multiply
    682,988.63x = 986,721.75 × 986,721.75
  4. Step 4: Simplify right side
    682,988.63x = 973,619,811,923.06
  5. Step 5: Solve for x
    x = 973,619,811,923.06/682,988.63
  6. Step 6: Final answer
    x = 1,425,528.59

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