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Finding the Third Proportional to 433,764 and 939,935

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Solution

The third proportional to 433,764 and 939,935 is: 2,036,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,764 : 939,935 = 939,935 : x
  2. Step 2: Convert to fraction form
    433,764/939,935 = 939,935/x
  3. Step 3: Cross multiply
    433,764x = 939,935 × 939,935
  4. Step 4: Simplify right side
    433,764x = 883,477,804,225
  5. Step 5: Solve for x
    x = 883,477,804,225/433,764
  6. Step 6: Final answer
    x = 2,036,770.70

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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.