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Finding the Third Proportional to 484,734 and 992,973

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Solution

The third proportional to 484,734 and 992,973 is: 2,034,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,734 : 992,973 = 992,973 : x
  2. Step 2: Convert to fraction form
    484,734/992,973 = 992,973/x
  3. Step 3: Cross multiply
    484,734x = 992,973 × 992,973
  4. Step 4: Simplify right side
    484,734x = 985,995,378,729
  5. Step 5: Solve for x
    x = 985,995,378,729/484,734
  6. Step 6: Final answer
    x = 2,034,095.77

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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.