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Finding the Third Proportional to 739,920 and 1,590,324

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Solution

The third proportional to 739,920 and 1,590,324 is: 3,418,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,920 : 1,590,324 = 1,590,324 : x
  2. Step 2: Convert to fraction form
    739,920/1,590,324 = 1,590,324/x
  3. Step 3: Cross multiply
    739,920x = 1,590,324 × 1,590,324
  4. Step 4: Simplify right side
    739,920x = 2,529,130,424,976
  5. Step 5: Solve for x
    x = 2,529,130,424,976/739,920
  6. Step 6: Final answer
    x = 3,418,113.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.