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Finding the Third Proportional to 184,810 and 453,822

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Solution

The third proportional to 184,810 and 453,822 is: 1,114,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810 : 453,822 = 453,822 : x
  2. Step 2: Convert to fraction form
    184,810/453,822 = 453,822/x
  3. Step 3: Cross multiply
    184,810x = 453,822 × 453,822
  4. Step 4: Simplify right side
    184,810x = 205,954,407,684
  5. Step 5: Solve for x
    x = 205,954,407,684/184,810
  6. Step 6: Final answer
    x = 1,114,411.60

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.