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Finding the Third Proportional to 505,159 and 1,080,363

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Solution

The third proportional to 505,159 and 1,080,363 is: 2,310,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,159 : 1,080,363 = 1,080,363 : x
  2. Step 2: Convert to fraction form
    505,159/1,080,363 = 1,080,363/x
  3. Step 3: Cross multiply
    505,159x = 1,080,363 × 1,080,363
  4. Step 4: Simplify right side
    505,159x = 1,167,184,211,769
  5. Step 5: Solve for x
    x = 1,167,184,211,769/505,159
  6. Step 6: Final answer
    x = 2,310,528.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.