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Finding the Third Proportional to 505,826 and 1,090,468

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Solution

The third proportional to 505,826 and 1,090,468 is: 2,350,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,826 : 1,090,468 = 1,090,468 : x
  2. Step 2: Convert to fraction form
    505,826/1,090,468 = 1,090,468/x
  3. Step 3: Cross multiply
    505,826x = 1,090,468 × 1,090,468
  4. Step 4: Simplify right side
    505,826x = 1,189,120,459,024
  5. Step 5: Solve for x
    x = 1,189,120,459,024/505,826
  6. Step 6: Final answer
    x = 2,350,848.83

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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.