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Finding the Third Proportional to 708,944 and 1,089,698

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Solution

The third proportional to 708,944 and 1,089,698 is: 1,674,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,944 : 1,089,698 = 1,089,698 : x
  2. Step 2: Convert to fraction form
    708,944/1,089,698 = 1,089,698/x
  3. Step 3: Cross multiply
    708,944x = 1,089,698 × 1,089,698
  4. Step 4: Simplify right side
    708,944x = 1,187,441,731,204
  5. Step 5: Solve for x
    x = 1,187,441,731,204/708,944
  6. Step 6: Final answer
    x = 1,674,944.33

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