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Finding the Third Proportional to 626,590 and 913,098

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Solution

The third proportional to 626,590 and 913,098 is: 1,330,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,590 : 913,098 = 913,098 : x
  2. Step 2: Convert to fraction form
    626,590/913,098 = 913,098/x
  3. Step 3: Cross multiply
    626,590x = 913,098 × 913,098
  4. Step 4: Simplify right side
    626,590x = 833,747,957,604
  5. Step 5: Solve for x
    x = 833,747,957,604/626,590
  6. Step 6: Final answer
    x = 1,330,611.66

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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.