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Finding the Third Proportional to 500,766 and 1,080,172

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Solution

The third proportional to 500,766 and 1,080,172 is: 2,329,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,766 : 1,080,172 = 1,080,172 : x
  2. Step 2: Convert to fraction form
    500,766/1,080,172 = 1,080,172/x
  3. Step 3: Cross multiply
    500,766x = 1,080,172 × 1,080,172
  4. Step 4: Simplify right side
    500,766x = 1,166,771,549,584
  5. Step 5: Solve for x
    x = 1,166,771,549,584/500,766
  6. Step 6: Final answer
    x = 2,329,973.58

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