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Finding the Third Proportional to 461,542 and 996,896

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Solution

The third proportional to 461,542 and 996,896 is: 2,153,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,542 : 996,896 = 996,896 : x
  2. Step 2: Convert to fraction form
    461,542/996,896 = 996,896/x
  3. Step 3: Cross multiply
    461,542x = 996,896 × 996,896
  4. Step 4: Simplify right side
    461,542x = 993,801,634,816
  5. Step 5: Solve for x
    x = 993,801,634,816/461,542
  6. Step 6: Final answer
    x = 2,153,220.37

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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.