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Finding the Third Proportional to 424,228 and 923,480

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Solution

The third proportional to 424,228 and 923,480 is: 2,010,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,228 : 923,480 = 923,480 : x
  2. Step 2: Convert to fraction form
    424,228/923,480 = 923,480/x
  3. Step 3: Cross multiply
    424,228x = 923,480 × 923,480
  4. Step 4: Simplify right side
    424,228x = 852,815,310,400
  5. Step 5: Solve for x
    x = 852,815,310,400/424,228
  6. Step 6: Final answer
    x = 2,010,275.87

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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.