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Finding the Third Proportional to 535,698.94 and 1,144,049.25

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Solution

The third proportional to 535,698.94 and 1,144,049.25 is: 2,443,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,698.94 : 1,144,049.25 = 1,144,049.25 : x
  2. Step 2: Convert to fraction form
    535,698.94/1,144,049.25 = 1,144,049.25/x
  3. Step 3: Cross multiply
    535,698.94x = 1,144,049.25 × 1,144,049.25
  4. Step 4: Simplify right side
    535,698.94x = 1,308,848,686,425.56
  5. Step 5: Solve for x
    x = 1,308,848,686,425.56/535,698.94
  6. Step 6: Final answer
    x = 2,443,254.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.