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Finding the Third Proportional to 810,881 and 1,230,546

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Solution

The third proportional to 810,881 and 1,230,546 is: 1,867,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,881 : 1,230,546 = 1,230,546 : x
  2. Step 2: Convert to fraction form
    810,881/1,230,546 = 1,230,546/x
  3. Step 3: Cross multiply
    810,881x = 1,230,546 × 1,230,546
  4. Step 4: Simplify right side
    810,881x = 1,514,243,458,116
  5. Step 5: Solve for x
    x = 1,514,243,458,116/810,881
  6. Step 6: Final answer
    x = 1,867,405.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.