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Finding the Third Proportional to 604,846 and 889,749

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Solution

The third proportional to 604,846 and 889,749 is: 1,308,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,846 : 889,749 = 889,749 : x
  2. Step 2: Convert to fraction form
    604,846/889,749 = 889,749/x
  3. Step 3: Cross multiply
    604,846x = 889,749 × 889,749
  4. Step 4: Simplify right side
    604,846x = 791,653,283,001
  5. Step 5: Solve for x
    x = 791,653,283,001/604,846
  6. Step 6: Final answer
    x = 1,308,850.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.