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Finding the Third Proportional to 756,296 and 1,170,912

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Solution

The third proportional to 756,296 and 1,170,912 is: 1,812,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,296 : 1,170,912 = 1,170,912 : x
  2. Step 2: Convert to fraction form
    756,296/1,170,912 = 1,170,912/x
  3. Step 3: Cross multiply
    756,296x = 1,170,912 × 1,170,912
  4. Step 4: Simplify right side
    756,296x = 1,371,034,911,744
  5. Step 5: Solve for x
    x = 1,371,034,911,744/756,296
  6. Step 6: Final answer
    x = 1,812,828.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.