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Finding the Third Proportional to 965,332.69 and 2,119,704.19

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Solution

The third proportional to 965,332.69 and 2,119,704.19 is: 4,654,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,332.69 : 2,119,704.19 = 2,119,704.19 : x
  2. Step 2: Convert to fraction form
    965,332.69/2,119,704.19 = 2,119,704.19/x
  3. Step 3: Cross multiply
    965,332.69x = 2,119,704.19 × 2,119,704.19
  4. Step 4: Simplify right side
    965,332.69x = 4,493,145,842,505.04
  5. Step 5: Solve for x
    x = 4,493,145,842,505.04/965,332.69
  6. Step 6: Final answer
    x = 4,654,505.02

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