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Finding the Third Proportional to 452,176 and 954,752

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Solution

The third proportional to 452,176 and 954,752 is: 2,015,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,176 : 954,752 = 954,752 : x
  2. Step 2: Convert to fraction form
    452,176/954,752 = 954,752/x
  3. Step 3: Cross multiply
    452,176x = 954,752 × 954,752
  4. Step 4: Simplify right side
    452,176x = 911,551,381,504
  5. Step 5: Solve for x
    x = 911,551,381,504/452,176
  6. Step 6: Final answer
    x = 2,015,921.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.