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Finding the Third Proportional to 582,219 and 1,273,054.50

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Solution

The third proportional to 582,219 and 1,273,054.50 is: 2,783,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,219 : 1,273,054.50 = 1,273,054.50 : x
  2. Step 2: Convert to fraction form
    582,219/1,273,054.50 = 1,273,054.50/x
  3. Step 3: Cross multiply
    582,219x = 1,273,054.50 × 1,273,054.50
  4. Step 4: Simplify right side
    582,219x = 1,620,667,759,970.25
  5. Step 5: Solve for x
    x = 1,620,667,759,970.25/582,219
  6. Step 6: Final answer
    x = 2,783,605.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.