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Finding the Third Proportional to 807,529.50 and 1,698,711.75

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Solution

The third proportional to 807,529.50 and 1,698,711.75 is: 3,573,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,529.50 : 1,698,711.75 = 1,698,711.75 : x
  2. Step 2: Convert to fraction form
    807,529.50/1,698,711.75 = 1,698,711.75/x
  3. Step 3: Cross multiply
    807,529.50x = 1,698,711.75 × 1,698,711.75
  4. Step 4: Simplify right side
    807,529.50x = 2,885,621,609,588.06
  5. Step 5: Solve for x
    x = 2,885,621,609,588.06/807,529.50
  6. Step 6: Final answer
    x = 3,573,394.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.