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Finding the Third Proportional to 654,914 and 1,447,476

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Solution

The third proportional to 654,914 and 1,447,476 is: 3,199,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,914 : 1,447,476 = 1,447,476 : x
  2. Step 2: Convert to fraction form
    654,914/1,447,476 = 1,447,476/x
  3. Step 3: Cross multiply
    654,914x = 1,447,476 × 1,447,476
  4. Step 4: Simplify right side
    654,914x = 2,095,186,770,576
  5. Step 5: Solve for x
    x = 2,095,186,770,576/654,914
  6. Step 6: Final answer
    x = 3,199,178.47

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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.