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Finding the Third Proportional to 462,072 and 992,904

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Solution

The third proportional to 462,072 and 992,904 is: 2,133,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,072 : 992,904 = 992,904 : x
  2. Step 2: Convert to fraction form
    462,072/992,904 = 992,904/x
  3. Step 3: Cross multiply
    462,072x = 992,904 × 992,904
  4. Step 4: Simplify right side
    462,072x = 985,858,353,216
  5. Step 5: Solve for x
    x = 985,858,353,216/462,072
  6. Step 6: Final answer
    x = 2,133,560.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.