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Finding the Third Proportional to 468,172 and 992,120

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Solution

The third proportional to 468,172 and 992,120 is: 2,102,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,172 : 992,120 = 992,120 : x
  2. Step 2: Convert to fraction form
    468,172/992,120 = 992,120/x
  3. Step 3: Cross multiply
    468,172x = 992,120 × 992,120
  4. Step 4: Simplify right side
    468,172x = 984,302,094,400
  5. Step 5: Solve for x
    x = 984,302,094,400/468,172
  6. Step 6: Final answer
    x = 2,102,436.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.