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Finding the Third Proportional to 469,931.63 and 993,444.75

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Solution

The third proportional to 469,931.63 and 993,444.75 is: 2,100,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,931.63 : 993,444.75 = 993,444.75 : x
  2. Step 2: Convert to fraction form
    469,931.63/993,444.75 = 993,444.75/x
  3. Step 3: Cross multiply
    469,931.63x = 993,444.75 × 993,444.75
  4. Step 4: Simplify right side
    469,931.63x = 986,932,471,302.56
  5. Step 5: Solve for x
    x = 986,932,471,302.56/469,931.63
  6. Step 6: Final answer
    x = 2,100,161.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.