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Finding the Third Proportional to 724,438.69 and 1,573,425

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Solution

The third proportional to 724,438.69 and 1,573,425 is: 3,417,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,438.69 : 1,573,425 = 1,573,425 : x
  2. Step 2: Convert to fraction form
    724,438.69/1,573,425 = 1,573,425/x
  3. Step 3: Cross multiply
    724,438.69x = 1,573,425 × 1,573,425
  4. Step 4: Simplify right side
    724,438.69x = 2,475,666,230,625
  5. Step 5: Solve for x
    x = 2,475,666,230,625/724,438.69
  6. Step 6: Final answer
    x = 3,417,357.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.