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Finding the Third Proportional to 459,126 and 992,025

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Solution

The third proportional to 459,126 and 992,025 is: 2,143,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,126 : 992,025 = 992,025 : x
  2. Step 2: Convert to fraction form
    459,126/992,025 = 992,025/x
  3. Step 3: Cross multiply
    459,126x = 992,025 × 992,025
  4. Step 4: Simplify right side
    459,126x = 984,113,600,625
  5. Step 5: Solve for x
    x = 984,113,600,625/459,126
  6. Step 6: Final answer
    x = 2,143,449.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.