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Finding the Third Proportional to 488,196 and 1,000,176

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Solution

The third proportional to 488,196 and 1,000,176 is: 2,049,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,196 : 1,000,176 = 1,000,176 : x
  2. Step 2: Convert to fraction form
    488,196/1,000,176 = 1,000,176/x
  3. Step 3: Cross multiply
    488,196x = 1,000,176 × 1,000,176
  4. Step 4: Simplify right side
    488,196x = 1,000,352,030,976
  5. Step 5: Solve for x
    x = 1,000,352,030,976/488,196
  6. Step 6: Final answer
    x = 2,049,078.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.