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Finding the Third Proportional to 433,728 and 939,861

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Solution

The third proportional to 433,728 and 939,861 is: 2,036,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,728 : 939,861 = 939,861 : x
  2. Step 2: Convert to fraction form
    433,728/939,861 = 939,861/x
  3. Step 3: Cross multiply
    433,728x = 939,861 × 939,861
  4. Step 4: Simplify right side
    433,728x = 883,338,699,321
  5. Step 5: Solve for x
    x = 883,338,699,321/433,728
  6. Step 6: Final answer
    x = 2,036,619.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.