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Finding the Third Proportional to 584,631 and 1,320,485.63

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Solution

The third proportional to 584,631 and 1,320,485.63 is: 2,982,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,631 : 1,320,485.63 = 1,320,485.63 : x
  2. Step 2: Convert to fraction form
    584,631/1,320,485.63 = 1,320,485.63/x
  3. Step 3: Cross multiply
    584,631x = 1,320,485.63 × 1,320,485.63
  4. Step 4: Simplify right side
    584,631x = 1,743,682,285,831.64
  5. Step 5: Solve for x
    x = 1,743,682,285,831.64/584,631
  6. Step 6: Final answer
    x = 2,982,534.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.