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Finding the Third Proportional to 796,186 and 1,232,835

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Solution

The third proportional to 796,186 and 1,232,835 is: 1,908,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,186 : 1,232,835 = 1,232,835 : x
  2. Step 2: Convert to fraction form
    796,186/1,232,835 = 1,232,835/x
  3. Step 3: Cross multiply
    796,186x = 1,232,835 × 1,232,835
  4. Step 4: Simplify right side
    796,186x = 1,519,882,137,225
  5. Step 5: Solve for x
    x = 1,519,882,137,225/796,186
  6. Step 6: Final answer
    x = 1,908,953.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.