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Finding the Third Proportional to 893,025 and 1,347,738.75

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Solution

The third proportional to 893,025 and 1,347,738.75 is: 2,033,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,025 : 1,347,738.75 = 1,347,738.75 : x
  2. Step 2: Convert to fraction form
    893,025/1,347,738.75 = 1,347,738.75/x
  3. Step 3: Cross multiply
    893,025x = 1,347,738.75 × 1,347,738.75
  4. Step 4: Simplify right side
    893,025x = 1,816,399,738,251.56
  5. Step 5: Solve for x
    x = 1,816,399,738,251.56/893,025
  6. Step 6: Final answer
    x = 2,033,985.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.