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Finding the Third Proportional to 505,798 and 1,090,012

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Solution

The third proportional to 505,798 and 1,090,012 is: 2,349,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,798 : 1,090,012 = 1,090,012 : x
  2. Step 2: Convert to fraction form
    505,798/1,090,012 = 1,090,012/x
  3. Step 3: Cross multiply
    505,798x = 1,090,012 × 1,090,012
  4. Step 4: Simplify right side
    505,798x = 1,188,126,160,144
  5. Step 5: Solve for x
    x = 1,188,126,160,144/505,798
  6. Step 6: Final answer
    x = 2,349,013.16

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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.