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Finding the Third Proportional to 773,190.75 and 1,698,501.75

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Solution

The third proportional to 773,190.75 and 1,698,501.75 is: 3,731,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,190.75 : 1,698,501.75 = 1,698,501.75 : x
  2. Step 2: Convert to fraction form
    773,190.75/1,698,501.75 = 1,698,501.75/x
  3. Step 3: Cross multiply
    773,190.75x = 1,698,501.75 × 1,698,501.75
  4. Step 4: Simplify right side
    773,190.75x = 2,884,908,194,753.06
  5. Step 5: Solve for x
    x = 2,884,908,194,753.06/773,190.75
  6. Step 6: Final answer
    x = 3,731,172.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.