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Finding the Third Proportional to 546,560 and 1,187,680

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Solution

The third proportional to 546,560 and 1,187,680 is: 2,580,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,560 : 1,187,680 = 1,187,680 : x
  2. Step 2: Convert to fraction form
    546,560/1,187,680 = 1,187,680/x
  3. Step 3: Cross multiply
    546,560x = 1,187,680 × 1,187,680
  4. Step 4: Simplify right side
    546,560x = 1,410,583,782,400
  5. Step 5: Solve for x
    x = 1,410,583,782,400/546,560
  6. Step 6: Final answer
    x = 2,580,839.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.