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Finding the Third Proportional to 462,074 and 992,908

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Solution

The third proportional to 462,074 and 992,908 is: 2,133,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,074 : 992,908 = 992,908 : x
  2. Step 2: Convert to fraction form
    462,074/992,908 = 992,908/x
  3. Step 3: Cross multiply
    462,074x = 992,908 × 992,908
  4. Step 4: Simplify right side
    462,074x = 985,866,296,464
  5. Step 5: Solve for x
    x = 985,866,296,464/462,074
  6. Step 6: Final answer
    x = 2,133,567.99

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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.