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Finding the Third Proportional to 682,912 and 1,475,242

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Solution

The third proportional to 682,912 and 1,475,242 is: 3,186,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,912 : 1,475,242 = 1,475,242 : x
  2. Step 2: Convert to fraction form
    682,912/1,475,242 = 1,475,242/x
  3. Step 3: Cross multiply
    682,912x = 1,475,242 × 1,475,242
  4. Step 4: Simplify right side
    682,912x = 2,176,338,958,564
  5. Step 5: Solve for x
    x = 2,176,338,958,564/682,912
  6. Step 6: Final answer
    x = 3,186,851.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.