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Finding the Third Proportional to 796,340 and 1,719,364

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Solution

The third proportional to 796,340 and 1,719,364 is: 3,712,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,340 : 1,719,364 = 1,719,364 : x
  2. Step 2: Convert to fraction form
    796,340/1,719,364 = 1,719,364/x
  3. Step 3: Cross multiply
    796,340x = 1,719,364 × 1,719,364
  4. Step 4: Simplify right side
    796,340x = 2,956,212,564,496
  5. Step 5: Solve for x
    x = 2,956,212,564,496/796,340
  6. Step 6: Final answer
    x = 3,712,249.25

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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.