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Finding the Third Proportional to 708,960 and 1,089,721

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Solution

The third proportional to 708,960 and 1,089,721 is: 1,674,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,960 : 1,089,721 = 1,089,721 : x
  2. Step 2: Convert to fraction form
    708,960/1,089,721 = 1,089,721/x
  3. Step 3: Cross multiply
    708,960x = 1,089,721 × 1,089,721
  4. Step 4: Simplify right side
    708,960x = 1,187,491,857,841
  5. Step 5: Solve for x
    x = 1,187,491,857,841/708,960
  6. Step 6: Final answer
    x = 1,674,977.23

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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.