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Finding the Third Proportional to 505,256 and 1,090,646

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Solution

The third proportional to 505,256 and 1,090,646 is: 2,354,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,256 : 1,090,646 = 1,090,646 : x
  2. Step 2: Convert to fraction form
    505,256/1,090,646 = 1,090,646/x
  3. Step 3: Cross multiply
    505,256x = 1,090,646 × 1,090,646
  4. Step 4: Simplify right side
    505,256x = 1,189,508,697,316
  5. Step 5: Solve for x
    x = 1,189,508,697,316/505,256
  6. Step 6: Final answer
    x = 2,354,269.32

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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.