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Finding the Third Proportional to 763,950 and 1,618,969

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Solution

The third proportional to 763,950 and 1,618,969 is: 3,430,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,950 : 1,618,969 = 1,618,969 : x
  2. Step 2: Convert to fraction form
    763,950/1,618,969 = 1,618,969/x
  3. Step 3: Cross multiply
    763,950x = 1,618,969 × 1,618,969
  4. Step 4: Simplify right side
    763,950x = 2,621,060,622,961
  5. Step 5: Solve for x
    x = 2,621,060,622,961/763,950
  6. Step 6: Final answer
    x = 3,430,932.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.