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Finding the Third Proportional to 469,088 and 914,846

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Solution

The third proportional to 469,088 and 914,846 is: 1,784,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,088 : 914,846 = 914,846 : x
  2. Step 2: Convert to fraction form
    469,088/914,846 = 914,846/x
  3. Step 3: Cross multiply
    469,088x = 914,846 × 914,846
  4. Step 4: Simplify right side
    469,088x = 836,943,203,716
  5. Step 5: Solve for x
    x = 836,943,203,716/469,088
  6. Step 6: Final answer
    x = 1,784,192.31

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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.