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Finding the Third Proportional to 796,796 and 1,720,360

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Solution

The third proportional to 796,796 and 1,720,360 is: 3,714,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,796 : 1,720,360 = 1,720,360 : x
  2. Step 2: Convert to fraction form
    796,796/1,720,360 = 1,720,360/x
  3. Step 3: Cross multiply
    796,796x = 1,720,360 × 1,720,360
  4. Step 4: Simplify right side
    796,796x = 2,959,638,529,600
  5. Step 5: Solve for x
    x = 2,959,638,529,600/796,796
  6. Step 6: Final answer
    x = 3,714,424.43

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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.