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Finding the Third Proportional to 469,071 and 914,811

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Solution

The third proportional to 469,071 and 914,811 is: 1,784,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,071 : 914,811 = 914,811 : x
  2. Step 2: Convert to fraction form
    469,071/914,811 = 914,811/x
  3. Step 3: Cross multiply
    469,071x = 914,811 × 914,811
  4. Step 4: Simplify right side
    469,071x = 836,879,165,721
  5. Step 5: Solve for x
    x = 836,879,165,721/469,071
  6. Step 6: Final answer
    x = 1,784,120.45

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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.