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Finding the Third Proportional to 546,610 and 1,198,520

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Solution

The third proportional to 546,610 and 1,198,520 is: 2,627,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,610 : 1,198,520 = 1,198,520 : x
  2. Step 2: Convert to fraction form
    546,610/1,198,520 = 1,198,520/x
  3. Step 3: Cross multiply
    546,610x = 1,198,520 × 1,198,520
  4. Step 4: Simplify right side
    546,610x = 1,436,450,190,400
  5. Step 5: Solve for x
    x = 1,436,450,190,400/546,610
  6. Step 6: Final answer
    x = 2,627,925.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.