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Finding the Third Proportional to 796,792 and 1,720,352

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Solution

The third proportional to 796,792 and 1,720,352 is: 3,714,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,792 : 1,720,352 = 1,720,352 : x
  2. Step 2: Convert to fraction form
    796,792/1,720,352 = 1,720,352/x
  3. Step 3: Cross multiply
    796,792x = 1,720,352 × 1,720,352
  4. Step 4: Simplify right side
    796,792x = 2,959,611,003,904
  5. Step 5: Solve for x
    x = 2,959,611,003,904/796,792
  6. Step 6: Final answer
    x = 3,714,408.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.