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Finding the Third Proportional to 424,404 and 923,448

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Solution

The third proportional to 424,404 and 923,448 is: 2,009,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,404 : 923,448 = 923,448 : x
  2. Step 2: Convert to fraction form
    424,404/923,448 = 923,448/x
  3. Step 3: Cross multiply
    424,404x = 923,448 × 923,448
  4. Step 4: Simplify right side
    424,404x = 852,756,208,704
  5. Step 5: Solve for x
    x = 852,756,208,704/424,404
  6. Step 6: Final answer
    x = 2,009,302.95

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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.