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Finding the Third Proportional to 488,642 and 1,051,156

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Solution

The third proportional to 488,642 and 1,051,156 is: 2,261,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,642 : 1,051,156 = 1,051,156 : x
  2. Step 2: Convert to fraction form
    488,642/1,051,156 = 1,051,156/x
  3. Step 3: Cross multiply
    488,642x = 1,051,156 × 1,051,156
  4. Step 4: Simplify right side
    488,642x = 1,104,928,936,336
  5. Step 5: Solve for x
    x = 1,104,928,936,336/488,642
  6. Step 6: Final answer
    x = 2,261,223.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.