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Finding the Third Proportional to 546,302 and 1,192,228

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Solution

The third proportional to 546,302 and 1,192,228 is: 2,601,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,302 : 1,192,228 = 1,192,228 : x
  2. Step 2: Convert to fraction form
    546,302/1,192,228 = 1,192,228/x
  3. Step 3: Cross multiply
    546,302x = 1,192,228 × 1,192,228
  4. Step 4: Simplify right side
    546,302x = 1,421,407,603,984
  5. Step 5: Solve for x
    x = 1,421,407,603,984/546,302
  6. Step 6: Final answer
    x = 2,601,871.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.