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Finding the Third Proportional to 424,794 and 898,797

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Solution

The third proportional to 424,794 and 898,797 is: 1,901,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,794 : 898,797 = 898,797 : x
  2. Step 2: Convert to fraction form
    424,794/898,797 = 898,797/x
  3. Step 3: Cross multiply
    424,794x = 898,797 × 898,797
  4. Step 4: Simplify right side
    424,794x = 807,836,047,209
  5. Step 5: Solve for x
    x = 807,836,047,209/424,794
  6. Step 6: Final answer
    x = 1,901,712.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.