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Finding the Third Proportional to 452,909.25 and 976,749.75

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Solution

The third proportional to 452,909.25 and 976,749.75 is: 2,106,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,909.25 : 976,749.75 = 976,749.75 : x
  2. Step 2: Convert to fraction form
    452,909.25/976,749.75 = 976,749.75/x
  3. Step 3: Cross multiply
    452,909.25x = 976,749.75 × 976,749.75
  4. Step 4: Simplify right side
    452,909.25x = 954,040,074,125.06
  5. Step 5: Solve for x
    x = 954,040,074,125.06/452,909.25
  6. Step 6: Final answer
    x = 2,106,470.72

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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.