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Finding the Third Proportional to 711,144 and 1,080,539

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Solution

The third proportional to 711,144 and 1,080,539 is: 1,641,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,144 : 1,080,539 = 1,080,539 : x
  2. Step 2: Convert to fraction form
    711,144/1,080,539 = 1,080,539/x
  3. Step 3: Cross multiply
    711,144x = 1,080,539 × 1,080,539
  4. Step 4: Simplify right side
    711,144x = 1,167,564,530,521
  5. Step 5: Solve for x
    x = 1,167,564,530,521/711,144
  6. Step 6: Final answer
    x = 1,641,811.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.