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Finding the Third Proportional to 455,902 and 992,077

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Solution

The third proportional to 455,902 and 992,077 is: 2,158,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,902 : 992,077 = 992,077 : x
  2. Step 2: Convert to fraction form
    455,902/992,077 = 992,077/x
  3. Step 3: Cross multiply
    455,902x = 992,077 × 992,077
  4. Step 4: Simplify right side
    455,902x = 984,216,773,929
  5. Step 5: Solve for x
    x = 984,216,773,929/455,902
  6. Step 6: Final answer
    x = 2,158,834.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.