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Finding the Third Proportional to 683,047.69 and 986,797.69

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Solution

The third proportional to 683,047.69 and 986,797.69 is: 1,425,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,047.69 : 986,797.69 = 986,797.69 : x
  2. Step 2: Convert to fraction form
    683,047.69/986,797.69 = 986,797.69/x
  3. Step 3: Cross multiply
    683,047.69x = 986,797.69 × 986,797.69
  4. Step 4: Simplify right side
    683,047.69x = 973,769,676,055.35
  5. Step 5: Solve for x
    x = 973,769,676,055.35/683,047.69
  6. Step 6: Final answer
    x = 1,425,624.73

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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.