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Finding the Third Proportional to 465,150 and 1,004,650

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Solution

The third proportional to 465,150 and 1,004,650 is: 2,169,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,150 : 1,004,650 = 1,004,650 : x
  2. Step 2: Convert to fraction form
    465,150/1,004,650 = 1,004,650/x
  3. Step 3: Cross multiply
    465,150x = 1,004,650 × 1,004,650
  4. Step 4: Simplify right side
    465,150x = 1,009,321,622,500
  5. Step 5: Solve for x
    x = 1,009,321,622,500/465,150
  6. Step 6: Final answer
    x = 2,169,884.17

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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.