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Finding the Third Proportional to 424,398 and 923,442

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Solution

The third proportional to 424,398 and 923,442 is: 2,009,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,398 : 923,442 = 923,442 : x
  2. Step 2: Convert to fraction form
    424,398/923,442 = 923,442/x
  3. Step 3: Cross multiply
    424,398x = 923,442 × 923,442
  4. Step 4: Simplify right side
    424,398x = 852,745,127,364
  5. Step 5: Solve for x
    x = 852,745,127,364/424,398
  6. Step 6: Final answer
    x = 2,009,305.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.