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Finding the Third Proportional to 604,838 and 889,736

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Solution

The third proportional to 604,838 and 889,736 is: 1,308,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,838 : 889,736 = 889,736 : x
  2. Step 2: Convert to fraction form
    604,838/889,736 = 889,736/x
  3. Step 3: Cross multiply
    604,838x = 889,736 × 889,736
  4. Step 4: Simplify right side
    604,838x = 791,630,149,696
  5. Step 5: Solve for x
    x = 791,630,149,696/604,838
  6. Step 6: Final answer
    x = 1,308,830.05

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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.