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Finding the Third Proportional to 455,902 and 992,072

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Solution

The third proportional to 455,902 and 992,072 is: 2,158,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,902 : 992,072 = 992,072 : x
  2. Step 2: Convert to fraction form
    455,902/992,072 = 992,072/x
  3. Step 3: Cross multiply
    455,902x = 992,072 × 992,072
  4. Step 4: Simplify right side
    455,902x = 984,206,853,184
  5. Step 5: Solve for x
    x = 984,206,853,184/455,902
  6. Step 6: Final answer
    x = 2,158,812.32

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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.