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Finding the Third Proportional to 702,543 and 1,511,589

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Solution

The third proportional to 702,543 and 1,511,589 is: 3,252,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,543 : 1,511,589 = 1,511,589 : x
  2. Step 2: Convert to fraction form
    702,543/1,511,589 = 1,511,589/x
  3. Step 3: Cross multiply
    702,543x = 1,511,589 × 1,511,589
  4. Step 4: Simplify right side
    702,543x = 2,284,901,304,921
  5. Step 5: Solve for x
    x = 2,284,901,304,921/702,543
  6. Step 6: Final answer
    x = 3,252,329.47

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Why These Related Problems?

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