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Finding the Third Proportional to 545,724 and 1,113,642

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Solution

The third proportional to 545,724 and 1,113,642 is: 2,272,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,724 : 1,113,642 = 1,113,642 : x
  2. Step 2: Convert to fraction form
    545,724/1,113,642 = 1,113,642/x
  3. Step 3: Cross multiply
    545,724x = 1,113,642 × 1,113,642
  4. Step 4: Simplify right side
    545,724x = 1,240,198,504,164
  5. Step 5: Solve for x
    x = 1,240,198,504,164/545,724
  6. Step 6: Final answer
    x = 2,272,574.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.