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Finding the Third Proportional to 626,792 and 913,932

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Solution

The third proportional to 626,792 and 913,932 is: 1,332,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,792 : 913,932 = 913,932 : x
  2. Step 2: Convert to fraction form
    626,792/913,932 = 913,932/x
  3. Step 3: Cross multiply
    626,792x = 913,932 × 913,932
  4. Step 4: Simplify right side
    626,792x = 835,271,700,624
  5. Step 5: Solve for x
    x = 835,271,700,624/626,792
  6. Step 6: Final answer
    x = 1,332,613.85

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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.