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Finding the Third Proportional to 482,180.50 and 1,050,081.50

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Solution

The third proportional to 482,180.50 and 1,050,081.50 is: 2,286,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,180.50 : 1,050,081.50 = 1,050,081.50 : x
  2. Step 2: Convert to fraction form
    482,180.50/1,050,081.50 = 1,050,081.50/x
  3. Step 3: Cross multiply
    482,180.50x = 1,050,081.50 × 1,050,081.50
  4. Step 4: Simplify right side
    482,180.50x = 1,102,671,156,642.25
  5. Step 5: Solve for x
    x = 1,102,671,156,642.25/482,180.50
  6. Step 6: Final answer
    x = 2,286,843.12

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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.