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Finding the Third Proportional to 701,311.50 and 1,533,843

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Solution

The third proportional to 701,311.50 and 1,533,843 is: 3,354,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,311.50 : 1,533,843 = 1,533,843 : x
  2. Step 2: Convert to fraction form
    701,311.50/1,533,843 = 1,533,843/x
  3. Step 3: Cross multiply
    701,311.50x = 1,533,843 × 1,533,843
  4. Step 4: Simplify right side
    701,311.50x = 2,352,674,348,649
  5. Step 5: Solve for x
    x = 2,352,674,348,649/701,311.50
  6. Step 6: Final answer
    x = 3,354,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.