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Finding the Third Proportional to 792,227 and 1,192,140

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Solution

The third proportional to 792,227 and 1,192,140 is: 1,793,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,227 : 1,192,140 = 1,192,140 : x
  2. Step 2: Convert to fraction form
    792,227/1,192,140 = 1,192,140/x
  3. Step 3: Cross multiply
    792,227x = 1,192,140 × 1,192,140
  4. Step 4: Simplify right side
    792,227x = 1,421,197,779,600
  5. Step 5: Solve for x
    x = 1,421,197,779,600/792,227
  6. Step 6: Final answer
    x = 1,793,927.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.