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Finding the Third Proportional to 436,989.94 and 953,415.56

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Solution

The third proportional to 436,989.94 and 953,415.56 is: 2,080,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,989.94 : 953,415.56 = 953,415.56 : x
  2. Step 2: Convert to fraction form
    436,989.94/953,415.56 = 953,415.56/x
  3. Step 3: Cross multiply
    436,989.94x = 953,415.56 × 953,415.56
  4. Step 4: Simplify right side
    436,989.94x = 909,001,234,817.19
  5. Step 5: Solve for x
    x = 909,001,234,817.19/436,989.94
  6. Step 6: Final answer
    x = 2,080,142.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.