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Finding the Third Proportional to 437,063 and 934,903

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Solution

The third proportional to 437,063 and 934,903 is: 1,999,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,063 : 934,903 = 934,903 : x
  2. Step 2: Convert to fraction form
    437,063/934,903 = 934,903/x
  3. Step 3: Cross multiply
    437,063x = 934,903 × 934,903
  4. Step 4: Simplify right side
    437,063x = 874,043,619,409
  5. Step 5: Solve for x
    x = 874,043,619,409/437,063
  6. Step 6: Final answer
    x = 1,999,811.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.