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Finding the Third Proportional to 708,679.13 and 1,089,262.69

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Solution

The third proportional to 708,679.13 and 1,089,262.69 is: 1,674,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,679.13 : 1,089,262.69 = 1,089,262.69 : x
  2. Step 2: Convert to fraction form
    708,679.13/1,089,262.69 = 1,089,262.69/x
  3. Step 3: Cross multiply
    708,679.13x = 1,089,262.69 × 1,089,262.69
  4. Step 4: Simplify right side
    708,679.13x = 1,186,493,202,379.72
  5. Step 5: Solve for x
    x = 1,186,493,202,379.72/708,679.13
  6. Step 6: Final answer
    x = 1,674,231.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.