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Finding the Third Proportional to 436,752 and 954,976

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Solution

The third proportional to 436,752 and 954,976 is: 2,088,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,752 : 954,976 = 954,976 : x
  2. Step 2: Convert to fraction form
    436,752/954,976 = 954,976/x
  3. Step 3: Cross multiply
    436,752x = 954,976 × 954,976
  4. Step 4: Simplify right side
    436,752x = 911,979,160,576
  5. Step 5: Solve for x
    x = 911,979,160,576/436,752
  6. Step 6: Final answer
    x = 2,088,093.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.