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Finding the Third Proportional to 534,208 and 1,088,208

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Solution

The third proportional to 534,208 and 1,088,208 is: 2,216,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,208 : 1,088,208 = 1,088,208 : x
  2. Step 2: Convert to fraction form
    534,208/1,088,208 = 1,088,208/x
  3. Step 3: Cross multiply
    534,208x = 1,088,208 × 1,088,208
  4. Step 4: Simplify right side
    534,208x = 1,184,196,651,264
  5. Step 5: Solve for x
    x = 1,184,196,651,264/534,208
  6. Step 6: Final answer
    x = 2,216,733.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.