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Finding the Third Proportional to 545,904 and 872,012

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Solution

The third proportional to 545,904 and 872,012 is: 1,392,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,904 : 872,012 = 872,012 : x
  2. Step 2: Convert to fraction form
    545,904/872,012 = 872,012/x
  3. Step 3: Cross multiply
    545,904x = 872,012 × 872,012
  4. Step 4: Simplify right side
    545,904x = 760,404,928,144
  5. Step 5: Solve for x
    x = 760,404,928,144/545,904
  6. Step 6: Final answer
    x = 1,392,927.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.