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Finding the Third Proportional to 534,592 and 1,138,496

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Solution

The third proportional to 534,592 and 1,138,496 is: 2,424,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,592 : 1,138,496 = 1,138,496 : x
  2. Step 2: Convert to fraction form
    534,592/1,138,496 = 1,138,496/x
  3. Step 3: Cross multiply
    534,592x = 1,138,496 × 1,138,496
  4. Step 4: Simplify right side
    534,592x = 1,296,173,142,016
  5. Step 5: Solve for x
    x = 1,296,173,142,016/534,592
  6. Step 6: Final answer
    x = 2,424,602.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.