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Finding the Third Proportional to 5,976,592 and 8,971,012

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Solution

The third proportional to 5,976,592 and 8,971,012 is: 13,465,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976,592 : 8,971,012 = 8,971,012 : x
  2. Step 2: Convert to fraction form
    5,976,592/8,971,012 = 8,971,012/x
  3. Step 3: Cross multiply
    5,976,592x = 8,971,012 × 8,971,012
  4. Step 4: Simplify right side
    5,976,592x = 80,479,056,304,144
  5. Step 5: Solve for x
    x = 80,479,056,304,144/5,976,592
  6. Step 6: Final answer
    x = 13,465,710.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.