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Finding the Third Proportional to 461,540 and 996,889

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Solution

The third proportional to 461,540 and 996,889 is: 2,153,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,540 : 996,889 = 996,889 : x
  2. Step 2: Convert to fraction form
    461,540/996,889 = 996,889/x
  3. Step 3: Cross multiply
    461,540x = 996,889 × 996,889
  4. Step 4: Simplify right side
    461,540x = 993,787,678,321
  5. Step 5: Solve for x
    x = 993,787,678,321/461,540
  6. Step 6: Final answer
    x = 2,153,199.46

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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.