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Finding the Third Proportional to 545,886 and 1,185,012

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Solution

The third proportional to 545,886 and 1,185,012 is: 2,572,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,886 : 1,185,012 = 1,185,012 : x
  2. Step 2: Convert to fraction form
    545,886/1,185,012 = 1,185,012/x
  3. Step 3: Cross multiply
    545,886x = 1,185,012 × 1,185,012
  4. Step 4: Simplify right side
    545,886x = 1,404,253,440,144
  5. Step 5: Solve for x
    x = 1,404,253,440,144/545,886
  6. Step 6: Final answer
    x = 2,572,429.85

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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.