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Finding the Third Proportional to 459,156 and 1,072,204.50

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Solution

The third proportional to 459,156 and 1,072,204.50 is: 2,503,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,156 : 1,072,204.50 = 1,072,204.50 : x
  2. Step 2: Convert to fraction form
    459,156/1,072,204.50 = 1,072,204.50/x
  3. Step 3: Cross multiply
    459,156x = 1,072,204.50 × 1,072,204.50
  4. Step 4: Simplify right side
    459,156x = 1,149,622,489,820.25
  5. Step 5: Solve for x
    x = 1,149,622,489,820.25/459,156
  6. Step 6: Final answer
    x = 2,503,773.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.