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Finding the Third Proportional to 763,949 and 1,618,967

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Solution

The third proportional to 763,949 and 1,618,967 is: 3,430,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,949 : 1,618,967 = 1,618,967 : x
  2. Step 2: Convert to fraction form
    763,949/1,618,967 = 1,618,967/x
  3. Step 3: Cross multiply
    763,949x = 1,618,967 × 1,618,967
  4. Step 4: Simplify right side
    763,949x = 2,621,054,147,089
  5. Step 5: Solve for x
    x = 2,621,054,147,089/763,949
  6. Step 6: Final answer
    x = 3,430,928.17

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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.