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Finding the Third Proportional to 465,132 and 1,004,616

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Solution

The third proportional to 465,132 and 1,004,616 is: 2,169,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,132 : 1,004,616 = 1,004,616 : x
  2. Step 2: Convert to fraction form
    465,132/1,004,616 = 1,004,616/x
  3. Step 3: Cross multiply
    465,132x = 1,004,616 × 1,004,616
  4. Step 4: Simplify right side
    465,132x = 1,009,253,307,456
  5. Step 5: Solve for x
    x = 1,009,253,307,456/465,132
  6. Step 6: Final answer
    x = 2,169,821.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.