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Finding the Third Proportional to 642,738 and 1,227,156

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Solution

The third proportional to 642,738 and 1,227,156 is: 2,342,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,738 : 1,227,156 = 1,227,156 : x
  2. Step 2: Convert to fraction form
    642,738/1,227,156 = 1,227,156/x
  3. Step 3: Cross multiply
    642,738x = 1,227,156 × 1,227,156
  4. Step 4: Simplify right side
    642,738x = 1,505,911,848,336
  5. Step 5: Solve for x
    x = 1,505,911,848,336/642,738
  6. Step 6: Final answer
    x = 2,342,963.77

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.