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Finding the Third Proportional to 433,791 and 939,987

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Solution

The third proportional to 433,791 and 939,987 is: 2,036,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,791 : 939,987 = 939,987 : x
  2. Step 2: Convert to fraction form
    433,791/939,987 = 939,987/x
  3. Step 3: Cross multiply
    433,791x = 939,987 × 939,987
  4. Step 4: Simplify right side
    433,791x = 883,575,560,169
  5. Step 5: Solve for x
    x = 883,575,560,169/433,791
  6. Step 6: Final answer
    x = 2,036,869.28

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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.