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Finding the Third Proportional to 659,004 and 1,438,857

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Solution

The third proportional to 659,004 and 1,438,857 is: 3,141,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,004 : 1,438,857 = 1,438,857 : x
  2. Step 2: Convert to fraction form
    659,004/1,438,857 = 1,438,857/x
  3. Step 3: Cross multiply
    659,004x = 1,438,857 × 1,438,857
  4. Step 4: Simplify right side
    659,004x = 2,070,309,466,449
  5. Step 5: Solve for x
    x = 2,070,309,466,449/659,004
  6. Step 6: Final answer
    x = 3,141,573.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.