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Finding the Third Proportional to 443,080.13 and 972,318.94

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Solution

The third proportional to 443,080.13 and 972,318.94 is: 2,133,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,080.13 : 972,318.94 = 972,318.94 : x
  2. Step 2: Convert to fraction form
    443,080.13/972,318.94 = 972,318.94/x
  3. Step 3: Cross multiply
    443,080.13x = 972,318.94 × 972,318.94
  4. Step 4: Simplify right side
    443,080.13x = 945,404,116,221.13
  5. Step 5: Solve for x
    x = 945,404,116,221.13/443,080.13
  6. Step 6: Final answer
    x = 2,133,709.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.