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Finding the Third Proportional to 414,041.63 and 887,105.25

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Solution

The third proportional to 414,041.63 and 887,105.25 is: 1,900,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,041.63 : 887,105.25 = 887,105.25 : x
  2. Step 2: Convert to fraction form
    414,041.63/887,105.25 = 887,105.25/x
  3. Step 3: Cross multiply
    414,041.63x = 887,105.25 × 887,105.25
  4. Step 4: Simplify right side
    414,041.63x = 786,955,724,577.56
  5. Step 5: Solve for x
    x = 786,955,724,577.56/414,041.63
  6. Step 6: Final answer
    x = 1,900,668.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.