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Finding the Third Proportional to 484,666 and 992,841

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Solution

The third proportional to 484,666 and 992,841 is: 2,033,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,666 : 992,841 = 992,841 : x
  2. Step 2: Convert to fraction form
    484,666/992,841 = 992,841/x
  3. Step 3: Cross multiply
    484,666x = 992,841 × 992,841
  4. Step 4: Simplify right side
    484,666x = 985,733,251,281
  5. Step 5: Solve for x
    x = 985,733,251,281/484,666
  6. Step 6: Final answer
    x = 2,033,840.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.