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Finding the Third Proportional to 423,372 and 913,218

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Solution

The third proportional to 423,372 and 913,218 is: 1,969,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,372 : 913,218 = 913,218 : x
  2. Step 2: Convert to fraction form
    423,372/913,218 = 913,218/x
  3. Step 3: Cross multiply
    423,372x = 913,218 × 913,218
  4. Step 4: Simplify right side
    423,372x = 833,967,115,524
  5. Step 5: Solve for x
    x = 833,967,115,524/423,372
  6. Step 6: Final answer
    x = 1,969,821.14

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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.