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Finding the Third Proportional to 684,590 and 1,526,589

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Solution

The third proportional to 684,590 and 1,526,589 is: 3,404,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,590 : 1,526,589 = 1,526,589 : x
  2. Step 2: Convert to fraction form
    684,590/1,526,589 = 1,526,589/x
  3. Step 3: Cross multiply
    684,590x = 1,526,589 × 1,526,589
  4. Step 4: Simplify right side
    684,590x = 2,330,473,974,921
  5. Step 5: Solve for x
    x = 2,330,473,974,921/684,590
  6. Step 6: Final answer
    x = 3,404,189.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.