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Finding the Third Proportional to 534,724 and 1,188,988

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Solution

The third proportional to 534,724 and 1,188,988 is: 2,643,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,724 : 1,188,988 = 1,188,988 : x
  2. Step 2: Convert to fraction form
    534,724/1,188,988 = 1,188,988/x
  3. Step 3: Cross multiply
    534,724x = 1,188,988 × 1,188,988
  4. Step 4: Simplify right side
    534,724x = 1,413,692,464,144
  5. Step 5: Solve for x
    x = 1,413,692,464,144/534,724
  6. Step 6: Final answer
    x = 2,643,779.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.