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Finding the Third Proportional to 546,110 and 1,197,195.50

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Solution

The third proportional to 546,110 and 1,197,195.50 is: 2,624,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,110 : 1,197,195.50 = 1,197,195.50 : x
  2. Step 2: Convert to fraction form
    546,110/1,197,195.50 = 1,197,195.50/x
  3. Step 3: Cross multiply
    546,110x = 1,197,195.50 × 1,197,195.50
  4. Step 4: Simplify right side
    546,110x = 1,433,277,065,220.25
  5. Step 5: Solve for x
    x = 1,433,277,065,220.25/546,110
  6. Step 6: Final answer
    x = 2,624,520.82

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