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Finding the Third Proportional to 423,396 and 913,266

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Solution

The third proportional to 423,396 and 913,266 is: 1,969,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,396 : 913,266 = 913,266 : x
  2. Step 2: Convert to fraction form
    423,396/913,266 = 913,266/x
  3. Step 3: Cross multiply
    423,396x = 913,266 × 913,266
  4. Step 4: Simplify right side
    423,396x = 834,054,786,756
  5. Step 5: Solve for x
    x = 834,054,786,756/423,396
  6. Step 6: Final answer
    x = 1,969,916.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.