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Finding the Third Proportional to 796,380 and 1,719,545

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Solution

The third proportional to 796,380 and 1,719,545 is: 3,712,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,380 : 1,719,545 = 1,719,545 : x
  2. Step 2: Convert to fraction form
    796,380/1,719,545 = 1,719,545/x
  3. Step 3: Cross multiply
    796,380x = 1,719,545 × 1,719,545
  4. Step 4: Simplify right side
    796,380x = 2,956,835,007,025
  5. Step 5: Solve for x
    x = 2,956,835,007,025/796,380
  6. Step 6: Final answer
    x = 3,712,844.38

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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.