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Finding the Third Proportional to 437,850 and 943,245

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Solution

The third proportional to 437,850 and 943,245 is: 2,031,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,850 : 943,245 = 943,245 : x
  2. Step 2: Convert to fraction form
    437,850/943,245 = 943,245/x
  3. Step 3: Cross multiply
    437,850x = 943,245 × 943,245
  4. Step 4: Simplify right side
    437,850x = 889,711,130,025
  5. Step 5: Solve for x
    x = 889,711,130,025/437,850
  6. Step 6: Final answer
    x = 2,031,999.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.