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Finding the Third Proportional to 604,844 and 889,746

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Solution

The third proportional to 604,844 and 889,746 is: 1,308,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,844 : 889,746 = 889,746 : x
  2. Step 2: Convert to fraction form
    604,844/889,746 = 889,746/x
  3. Step 3: Cross multiply
    604,844x = 889,746 × 889,746
  4. Step 4: Simplify right side
    604,844x = 791,647,944,516
  5. Step 5: Solve for x
    x = 791,647,944,516/604,844
  6. Step 6: Final answer
    x = 1,308,846.49

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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.