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Finding the Third Proportional to 599,551 and 1,284,570

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Solution

The third proportional to 599,551 and 1,284,570 is: 2,752,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,551 : 1,284,570 = 1,284,570 : x
  2. Step 2: Convert to fraction form
    599,551/1,284,570 = 1,284,570/x
  3. Step 3: Cross multiply
    599,551x = 1,284,570 × 1,284,570
  4. Step 4: Simplify right side
    599,551x = 1,650,120,084,900
  5. Step 5: Solve for x
    x = 1,650,120,084,900/599,551
  6. Step 6: Final answer
    x = 2,752,259.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.