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Finding the Third Proportional to 534,984 and 1,088,651

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Solution

The third proportional to 534,984 and 1,088,651 is: 2,215,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,984 : 1,088,651 = 1,088,651 : x
  2. Step 2: Convert to fraction form
    534,984/1,088,651 = 1,088,651/x
  3. Step 3: Cross multiply
    534,984x = 1,088,651 × 1,088,651
  4. Step 4: Simplify right side
    534,984x = 1,185,160,999,801
  5. Step 5: Solve for x
    x = 1,185,160,999,801/534,984
  6. Step 6: Final answer
    x = 2,215,320.46

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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.