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Finding the Third Proportional to 796,800 and 1,714,432

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Solution

The third proportional to 796,800 and 1,714,432 is: 3,688,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,800 : 1,714,432 = 1,714,432 : x
  2. Step 2: Convert to fraction form
    796,800/1,714,432 = 1,714,432/x
  3. Step 3: Cross multiply
    796,800x = 1,714,432 × 1,714,432
  4. Step 4: Simplify right side
    796,800x = 2,939,277,082,624
  5. Step 5: Solve for x
    x = 2,939,277,082,624/796,800
  6. Step 6: Final answer
    x = 3,688,851.76

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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.