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Finding the Third Proportional to 469,080 and 914,831

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Solution

The third proportional to 469,080 and 914,831 is: 1,784,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,080 : 914,831 = 914,831 : x
  2. Step 2: Convert to fraction form
    469,080/914,831 = 914,831/x
  3. Step 3: Cross multiply
    469,080x = 914,831 × 914,831
  4. Step 4: Simplify right side
    469,080x = 836,915,758,561
  5. Step 5: Solve for x
    x = 836,915,758,561/469,080
  6. Step 6: Final answer
    x = 1,784,164.23

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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.