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Finding the Third Proportional to 534,980 and 1,088,643

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Solution

The third proportional to 534,980 and 1,088,643 is: 2,215,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,980 : 1,088,643 = 1,088,643 : x
  2. Step 2: Convert to fraction form
    534,980/1,088,643 = 1,088,643/x
  3. Step 3: Cross multiply
    534,980x = 1,088,643 × 1,088,643
  4. Step 4: Simplify right side
    534,980x = 1,185,143,581,449
  5. Step 5: Solve for x
    x = 1,185,143,581,449/534,980
  6. Step 6: Final answer
    x = 2,215,304.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.