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Finding the Third Proportional to 488,757 and 1,022,178

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Solution

The third proportional to 488,757 and 1,022,178 is: 2,137,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,757 : 1,022,178 = 1,022,178 : x
  2. Step 2: Convert to fraction form
    488,757/1,022,178 = 1,022,178/x
  3. Step 3: Cross multiply
    488,757x = 1,022,178 × 1,022,178
  4. Step 4: Simplify right side
    488,757x = 1,044,847,863,684
  5. Step 5: Solve for x
    x = 1,044,847,863,684/488,757
  6. Step 6: Final answer
    x = 2,137,765.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.