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Finding the Third Proportional to 414,152 and 903,275

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Solution

The third proportional to 414,152 and 903,275 is: 1,970,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,152 : 903,275 = 903,275 : x
  2. Step 2: Convert to fraction form
    414,152/903,275 = 903,275/x
  3. Step 3: Cross multiply
    414,152x = 903,275 × 903,275
  4. Step 4: Simplify right side
    414,152x = 815,905,725,625
  5. Step 5: Solve for x
    x = 815,905,725,625/414,152
  6. Step 6: Final answer
    x = 1,970,063.47

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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.