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Finding the Third Proportional to 488,109 and 1,051,230

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Solution

The third proportional to 488,109 and 1,051,230 is: 2,264,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,109 : 1,051,230 = 1,051,230 : x
  2. Step 2: Convert to fraction form
    488,109/1,051,230 = 1,051,230/x
  3. Step 3: Cross multiply
    488,109x = 1,051,230 × 1,051,230
  4. Step 4: Simplify right side
    488,109x = 1,105,084,512,900
  5. Step 5: Solve for x
    x = 1,105,084,512,900/488,109
  6. Step 6: Final answer
    x = 2,264,011.75

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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.