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Finding the Third Proportional to 599,054 and 1,303,078

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Solution

The third proportional to 599,054 and 1,303,078 is: 2,834,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,054 : 1,303,078 = 1,303,078 : x
  2. Step 2: Convert to fraction form
    599,054/1,303,078 = 1,303,078/x
  3. Step 3: Cross multiply
    599,054x = 1,303,078 × 1,303,078
  4. Step 4: Simplify right side
    599,054x = 1,698,012,274,084
  5. Step 5: Solve for x
    x = 1,698,012,274,084/599,054
  6. Step 6: Final answer
    x = 2,834,489.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.