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Finding the Third Proportional to 828,054 and 1,171,935

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Solution

The third proportional to 828,054 and 1,171,935 is: 1,658,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,054 : 1,171,935 = 1,171,935 : x
  2. Step 2: Convert to fraction form
    828,054/1,171,935 = 1,171,935/x
  3. Step 3: Cross multiply
    828,054x = 1,171,935 × 1,171,935
  4. Step 4: Simplify right side
    828,054x = 1,373,431,644,225
  5. Step 5: Solve for x
    x = 1,373,431,644,225/828,054
  6. Step 6: Final answer
    x = 1,658,625.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.