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Finding the Third Proportional to 626,946 and 914,175

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Solution

The third proportional to 626,946 and 914,175 is: 1,332,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,946 : 914,175 = 914,175 : x
  2. Step 2: Convert to fraction form
    626,946/914,175 = 914,175/x
  3. Step 3: Cross multiply
    626,946x = 914,175 × 914,175
  4. Step 4: Simplify right side
    626,946x = 835,715,930,625
  5. Step 5: Solve for x
    x = 835,715,930,625/626,946
  6. Step 6: Final answer
    x = 1,332,995.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.