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Finding the Third Proportional to 469,079 and 914,827

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Solution

The third proportional to 469,079 and 914,827 is: 1,784,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,079 : 914,827 = 914,827 : x
  2. Step 2: Convert to fraction form
    469,079/914,827 = 914,827/x
  3. Step 3: Cross multiply
    469,079x = 914,827 × 914,827
  4. Step 4: Simplify right side
    469,079x = 836,908,439,929
  5. Step 5: Solve for x
    x = 836,908,439,929/469,079
  6. Step 6: Final answer
    x = 1,784,152.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.