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Finding the Third Proportional to 455,881 and 992,034

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Solution

The third proportional to 455,881 and 992,034 is: 2,158,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,881 : 992,034 = 992,034 : x
  2. Step 2: Convert to fraction form
    455,881/992,034 = 992,034/x
  3. Step 3: Cross multiply
    455,881x = 992,034 × 992,034
  4. Step 4: Simplify right side
    455,881x = 984,131,457,156
  5. Step 5: Solve for x
    x = 984,131,457,156/455,881
  6. Step 6: Final answer
    x = 2,158,746.38

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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.