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Finding the Third Proportional to 488,186 and 1,000,157

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Solution

The third proportional to 488,186 and 1,000,157 is: 2,049,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,186 : 1,000,157 = 1,000,157 : x
  2. Step 2: Convert to fraction form
    488,186/1,000,157 = 1,000,157/x
  3. Step 3: Cross multiply
    488,186x = 1,000,157 × 1,000,157
  4. Step 4: Simplify right side
    488,186x = 1,000,314,024,649
  5. Step 5: Solve for x
    x = 1,000,314,024,649/488,186
  6. Step 6: Final answer
    x = 2,049,042.83

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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.