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Finding the Third Proportional to 835,920 and 1,194,912

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Solution

The third proportional to 835,920 and 1,194,912 is: 1,708,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,920 : 1,194,912 = 1,194,912 : x
  2. Step 2: Convert to fraction form
    835,920/1,194,912 = 1,194,912/x
  3. Step 3: Cross multiply
    835,920x = 1,194,912 × 1,194,912
  4. Step 4: Simplify right side
    835,920x = 1,427,814,687,744
  5. Step 5: Solve for x
    x = 1,427,814,687,744/835,920
  6. Step 6: Final answer
    x = 1,708,075.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.