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Finding the Third Proportional to 469,064.25 and 1,024,143.75

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Solution

The third proportional to 469,064.25 and 1,024,143.75 is: 2,236,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,064.25 : 1,024,143.75 = 1,024,143.75 : x
  2. Step 2: Convert to fraction form
    469,064.25/1,024,143.75 = 1,024,143.75/x
  3. Step 3: Cross multiply
    469,064.25x = 1,024,143.75 × 1,024,143.75
  4. Step 4: Simplify right side
    469,064.25x = 1,048,870,420,664.06
  5. Step 5: Solve for x
    x = 1,048,870,420,664.06/469,064.25
  6. Step 6: Final answer
    x = 2,236,091.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.