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Finding the Third Proportional to 701,884.50 and 1,437,018

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Solution

The third proportional to 701,884.50 and 1,437,018 is: 2,942,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,884.50 : 1,437,018 = 1,437,018 : x
  2. Step 2: Convert to fraction form
    701,884.50/1,437,018 = 1,437,018/x
  3. Step 3: Cross multiply
    701,884.50x = 1,437,018 × 1,437,018
  4. Step 4: Simplify right side
    701,884.50x = 2,065,020,732,324
  5. Step 5: Solve for x
    x = 2,065,020,732,324/701,884.50
  6. Step 6: Final answer
    x = 2,942,109.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.