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Finding the Third Proportional to 459,052 and 994,332

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Solution

The third proportional to 459,052 and 994,332 is: 2,153,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,052 : 994,332 = 994,332 : x
  2. Step 2: Convert to fraction form
    459,052/994,332 = 994,332/x
  3. Step 3: Cross multiply
    459,052x = 994,332 × 994,332
  4. Step 4: Simplify right side
    459,052x = 988,696,126,224
  5. Step 5: Solve for x
    x = 988,696,126,224/459,052
  6. Step 6: Final answer
    x = 2,153,778.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.