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Finding the Third Proportional to 546,111 and 1,197,199

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Solution

The third proportional to 546,111 and 1,197,199 is: 2,624,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,111 : 1,197,199 = 1,197,199 : x
  2. Step 2: Convert to fraction form
    546,111/1,197,199 = 1,197,199/x
  3. Step 3: Cross multiply
    546,111x = 1,197,199 × 1,197,199
  4. Step 4: Simplify right side
    546,111x = 1,433,285,445,601
  5. Step 5: Solve for x
    x = 1,433,285,445,601/546,111
  6. Step 6: Final answer
    x = 2,624,531.36

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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.