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Finding the Third Proportional to 535,949 and 1,116,002

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Solution

The third proportional to 535,949 and 1,116,002 is: 2,323,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,949 : 1,116,002 = 1,116,002 : x
  2. Step 2: Convert to fraction form
    535,949/1,116,002 = 1,116,002/x
  3. Step 3: Cross multiply
    535,949x = 1,116,002 × 1,116,002
  4. Step 4: Simplify right side
    535,949x = 1,245,460,464,004
  5. Step 5: Solve for x
    x = 1,245,460,464,004/535,949
  6. Step 6: Final answer
    x = 2,323,841.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.