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Finding the Third Proportional to 684,591.75 and 1,526,593.50

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Solution

The third proportional to 684,591.75 and 1,526,593.50 is: 3,404,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,591.75 : 1,526,593.50 = 1,526,593.50 : x
  2. Step 2: Convert to fraction form
    684,591.75/1,526,593.50 = 1,526,593.50/x
  3. Step 3: Cross multiply
    684,591.75x = 1,526,593.50 × 1,526,593.50
  4. Step 4: Simplify right side
    684,591.75x = 2,330,487,714,242.25
  5. Step 5: Solve for x
    x = 2,330,487,714,242.25/684,591.75
  6. Step 6: Final answer
    x = 3,404,200.70

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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.