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Finding the Third Proportional to 763,965 and 1,618,997

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Solution

The third proportional to 763,965 and 1,618,997 is: 3,430,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,965 : 1,618,997 = 1,618,997 : x
  2. Step 2: Convert to fraction form
    763,965/1,618,997 = 1,618,997/x
  3. Step 3: Cross multiply
    763,965x = 1,618,997 × 1,618,997
  4. Step 4: Simplify right side
    763,965x = 2,621,151,286,009
  5. Step 5: Solve for x
    x = 2,621,151,286,009/763,965
  6. Step 6: Final answer
    x = 3,430,983.47

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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.