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Finding the Third Proportional to 796,382 and 1,719,550

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Solution

The third proportional to 796,382 and 1,719,550 is: 3,712,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,382 : 1,719,550 = 1,719,550 : x
  2. Step 2: Convert to fraction form
    796,382/1,719,550 = 1,719,550/x
  3. Step 3: Cross multiply
    796,382x = 1,719,550 × 1,719,550
  4. Step 4: Simplify right side
    796,382x = 2,956,852,202,500
  5. Step 5: Solve for x
    x = 2,956,852,202,500/796,382
  6. Step 6: Final answer
    x = 3,712,856.65

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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.