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Finding the Third Proportional to 521,509 and 1,082,984

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Solution

The third proportional to 521,509 and 1,082,984 is: 2,248,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,509 : 1,082,984 = 1,082,984 : x
  2. Step 2: Convert to fraction form
    521,509/1,082,984 = 1,082,984/x
  3. Step 3: Cross multiply
    521,509x = 1,082,984 × 1,082,984
  4. Step 4: Simplify right side
    521,509x = 1,172,854,344,256
  5. Step 5: Solve for x
    x = 1,172,854,344,256/521,509
  6. Step 6: Final answer
    x = 2,248,962.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.