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Finding the Third Proportional to 445,856 and 903,232

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Solution

The third proportional to 445,856 and 903,232 is: 1,829,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,856 : 903,232 = 903,232 : x
  2. Step 2: Convert to fraction form
    445,856/903,232 = 903,232/x
  3. Step 3: Cross multiply
    445,856x = 903,232 × 903,232
  4. Step 4: Simplify right side
    445,856x = 815,828,045,824
  5. Step 5: Solve for x
    x = 815,828,045,824/445,856
  6. Step 6: Final answer
    x = 1,829,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.