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Finding the Third Proportional to 500,233 and 1,095,803

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Solution

The third proportional to 500,233 and 1,095,803 is: 2,400,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,233 : 1,095,803 = 1,095,803 : x
  2. Step 2: Convert to fraction form
    500,233/1,095,803 = 1,095,803/x
  3. Step 3: Cross multiply
    500,233x = 1,095,803 × 1,095,803
  4. Step 4: Simplify right side
    500,233x = 1,200,784,214,809
  5. Step 5: Solve for x
    x = 1,200,784,214,809/500,233
  6. Step 6: Final answer
    x = 2,400,449.82

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