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Finding the Third Proportional to 571,002 and 889,203

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Solution

The third proportional to 571,002 and 889,203 is: 1,384,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,002 : 889,203 = 889,203 : x
  2. Step 2: Convert to fraction form
    571,002/889,203 = 889,203/x
  3. Step 3: Cross multiply
    571,002x = 889,203 × 889,203
  4. Step 4: Simplify right side
    571,002x = 790,681,975,209
  5. Step 5: Solve for x
    x = 790,681,975,209/571,002
  6. Step 6: Final answer
    x = 1,384,727.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.