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Finding the Third Proportional to 431,100 and 939,408

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Solution

The third proportional to 431,100 and 939,408 is: 2,047,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,100 : 939,408 = 939,408 : x
  2. Step 2: Convert to fraction form
    431,100/939,408 = 939,408/x
  3. Step 3: Cross multiply
    431,100x = 939,408 × 939,408
  4. Step 4: Simplify right side
    431,100x = 882,487,390,464
  5. Step 5: Solve for x
    x = 882,487,390,464/431,100
  6. Step 6: Final answer
    x = 2,047,059.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.