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Finding the Third Proportional to 626,586 and 913,092

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Solution

The third proportional to 626,586 and 913,092 is: 1,330,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,586 : 913,092 = 913,092 : x
  2. Step 2: Convert to fraction form
    626,586/913,092 = 913,092/x
  3. Step 3: Cross multiply
    626,586x = 913,092 × 913,092
  4. Step 4: Simplify right side
    626,586x = 833,737,000,464
  5. Step 5: Solve for x
    x = 833,737,000,464/626,586
  6. Step 6: Final answer
    x = 1,330,602.66

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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.