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Finding the Third Proportional to 633,648 and 921,936

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Solution

The third proportional to 633,648 and 921,936 is: 1,341,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,648 : 921,936 = 921,936 : x
  2. Step 2: Convert to fraction form
    633,648/921,936 = 921,936/x
  3. Step 3: Cross multiply
    633,648x = 921,936 × 921,936
  4. Step 4: Simplify right side
    633,648x = 849,965,988,096
  5. Step 5: Solve for x
    x = 849,965,988,096/633,648
  6. Step 6: Final answer
    x = 1,341,385.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.