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Finding the Third Proportional to 545,736.75 and 1,148,024.25

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Solution

The third proportional to 545,736.75 and 1,148,024.25 is: 2,415,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,736.75 : 1,148,024.25 = 1,148,024.25 : x
  2. Step 2: Convert to fraction form
    545,736.75/1,148,024.25 = 1,148,024.25/x
  3. Step 3: Cross multiply
    545,736.75x = 1,148,024.25 × 1,148,024.25
  4. Step 4: Simplify right side
    545,736.75x = 1,317,959,678,588.06
  5. Step 5: Solve for x
    x = 1,317,959,678,588.06/545,736.75
  6. Step 6: Final answer
    x = 2,415,009.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.