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Finding the Third Proportional to 433,739 and 939,870

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Solution

The third proportional to 433,739 and 939,870 is: 2,036,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,739 : 939,870 = 939,870 : x
  2. Step 2: Convert to fraction form
    433,739/939,870 = 939,870/x
  3. Step 3: Cross multiply
    433,739x = 939,870 × 939,870
  4. Step 4: Simplify right side
    433,739x = 883,355,616,900
  5. Step 5: Solve for x
    x = 883,355,616,900/433,739
  6. Step 6: Final answer
    x = 2,036,606.39

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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.