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Finding the Third Proportional to 680,023.50 and 1,409,187

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Solution

The third proportional to 680,023.50 and 1,409,187 is: 2,920,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,023.50 : 1,409,187 = 1,409,187 : x
  2. Step 2: Convert to fraction form
    680,023.50/1,409,187 = 1,409,187/x
  3. Step 3: Cross multiply
    680,023.50x = 1,409,187 × 1,409,187
  4. Step 4: Simplify right side
    680,023.50x = 1,985,808,000,969
  5. Step 5: Solve for x
    x = 1,985,808,000,969/680,023.50
  6. Step 6: Final answer
    x = 2,920,204.96

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.