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Finding the Third Proportional to 724,762.69 and 1,665,901.69

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Solution

The third proportional to 724,762.69 and 1,665,901.69 is: 3,829,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,762.69 : 1,665,901.69 = 1,665,901.69 : x
  2. Step 2: Convert to fraction form
    724,762.69/1,665,901.69 = 1,665,901.69/x
  3. Step 3: Cross multiply
    724,762.69x = 1,665,901.69 × 1,665,901.69
  4. Step 4: Simplify right side
    724,762.69x = 2,775,228,432,415.35
  5. Step 5: Solve for x
    x = 2,775,228,432,415.35/724,762.69
  6. Step 6: Final answer
    x = 3,829,154.67

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.