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Finding the Third Proportional to 433,984 and 939,321

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Solution

The third proportional to 433,984 and 939,321 is: 2,033,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,984 : 939,321 = 939,321 : x
  2. Step 2: Convert to fraction form
    433,984/939,321 = 939,321/x
  3. Step 3: Cross multiply
    433,984x = 939,321 × 939,321
  4. Step 4: Simplify right side
    433,984x = 882,323,941,041
  5. Step 5: Solve for x
    x = 882,323,941,041/433,984
  6. Step 6: Final answer
    x = 2,033,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.