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Finding the Third Proportional to 604,860 and 889,766

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Solution

The third proportional to 604,860 and 889,766 is: 1,308,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,860 : 889,766 = 889,766 : x
  2. Step 2: Convert to fraction form
    604,860/889,766 = 889,766/x
  3. Step 3: Cross multiply
    604,860x = 889,766 × 889,766
  4. Step 4: Simplify right side
    604,860x = 791,683,534,756
  5. Step 5: Solve for x
    x = 791,683,534,756/604,860
  6. Step 6: Final answer
    x = 1,308,870.71

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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.