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Finding the Third Proportional to 654,912 and 1,447,472

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Solution

The third proportional to 654,912 and 1,447,472 is: 3,199,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,912 : 1,447,472 = 1,447,472 : x
  2. Step 2: Convert to fraction form
    654,912/1,447,472 = 1,447,472/x
  3. Step 3: Cross multiply
    654,912x = 1,447,472 × 1,447,472
  4. Step 4: Simplify right side
    654,912x = 2,095,175,190,784
  5. Step 5: Solve for x
    x = 2,095,175,190,784/654,912
  6. Step 6: Final answer
    x = 3,199,170.56

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.