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Finding the Third Proportional to 500,768 and 1,080,176

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Solution

The third proportional to 500,768 and 1,080,176 is: 2,329,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,768 : 1,080,176 = 1,080,176 : x
  2. Step 2: Convert to fraction form
    500,768/1,080,176 = 1,080,176/x
  3. Step 3: Cross multiply
    500,768x = 1,080,176 × 1,080,176
  4. Step 4: Simplify right side
    500,768x = 1,166,780,190,976
  5. Step 5: Solve for x
    x = 1,166,780,190,976/500,768
  6. Step 6: Final answer
    x = 2,329,981.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.