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Finding the Third Proportional to 545,448.94 and 1,187,029.69

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Solution

The third proportional to 545,448.94 and 1,187,029.69 is: 2,583,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,448.94 : 1,187,029.69 = 1,187,029.69 : x
  2. Step 2: Convert to fraction form
    545,448.94/1,187,029.69 = 1,187,029.69/x
  3. Step 3: Cross multiply
    545,448.94x = 1,187,029.69 × 1,187,029.69
  4. Step 4: Simplify right side
    545,448.94x = 1,409,039,479,006.35
  5. Step 5: Solve for x
    x = 1,409,039,479,006.35/545,448.94
  6. Step 6: Final answer
    x = 2,583,265.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.