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Finding the Third Proportional to 796,401 and 1,719,486

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Solution

The third proportional to 796,401 and 1,719,486 is: 3,712,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,401 : 1,719,486 = 1,719,486 : x
  2. Step 2: Convert to fraction form
    796,401/1,719,486 = 1,719,486/x
  3. Step 3: Cross multiply
    796,401x = 1,719,486 × 1,719,486
  4. Step 4: Simplify right side
    796,401x = 2,956,632,104,196
  5. Step 5: Solve for x
    x = 2,956,632,104,196/796,401
  6. Step 6: Final answer
    x = 3,712,491.70

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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.