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Finding the Third Proportional to 804,419 and 1,664,516

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Solution

The third proportional to 804,419 and 1,664,516 is: 3,444,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,419 : 1,664,516 = 1,664,516 : x
  2. Step 2: Convert to fraction form
    804,419/1,664,516 = 1,664,516/x
  3. Step 3: Cross multiply
    804,419x = 1,664,516 × 1,664,516
  4. Step 4: Simplify right side
    804,419x = 2,770,613,514,256
  5. Step 5: Solve for x
    x = 2,770,613,514,256/804,419
  6. Step 6: Final answer
    x = 3,444,241.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.