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Finding the Third Proportional to 595,629 and 1,284,570

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Solution

The third proportional to 595,629 and 1,284,570 is: 2,770,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,629 : 1,284,570 = 1,284,570 : x
  2. Step 2: Convert to fraction form
    595,629/1,284,570 = 1,284,570/x
  3. Step 3: Cross multiply
    595,629x = 1,284,570 × 1,284,570
  4. Step 4: Simplify right side
    595,629x = 1,650,120,084,900
  5. Step 5: Solve for x
    x = 1,650,120,084,900/595,629
  6. Step 6: Final answer
    x = 2,770,382.38

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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.