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Finding the Third Proportional to 626,942 and 914,169

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Solution

The third proportional to 626,942 and 914,169 is: 1,332,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,942 : 914,169 = 914,169 : x
  2. Step 2: Convert to fraction form
    626,942/914,169 = 914,169/x
  3. Step 3: Cross multiply
    626,942x = 914,169 × 914,169
  4. Step 4: Simplify right side
    626,942x = 835,704,960,561
  5. Step 5: Solve for x
    x = 835,704,960,561/626,942
  6. Step 6: Final answer
    x = 1,332,986.08

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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.