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Finding the Third Proportional to 701,874 and 1,436,935.50

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Solution

The third proportional to 701,874 and 1,436,935.50 is: 2,941,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,874 : 1,436,935.50 = 1,436,935.50 : x
  2. Step 2: Convert to fraction form
    701,874/1,436,935.50 = 1,436,935.50/x
  3. Step 3: Cross multiply
    701,874x = 1,436,935.50 × 1,436,935.50
  4. Step 4: Simplify right side
    701,874x = 2,064,783,631,160.25
  5. Step 5: Solve for x
    x = 2,064,783,631,160.25/701,874
  6. Step 6: Final answer
    x = 2,941,815.24

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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.