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Finding the Third Proportional to 671,923.25 and 1,450,736.50

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Solution

The third proportional to 671,923.25 and 1,450,736.50 is: 3,132,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,923.25 : 1,450,736.50 = 1,450,736.50 : x
  2. Step 2: Convert to fraction form
    671,923.25/1,450,736.50 = 1,450,736.50/x
  3. Step 3: Cross multiply
    671,923.25x = 1,450,736.50 × 1,450,736.50
  4. Step 4: Simplify right side
    671,923.25x = 2,104,636,392,432.25
  5. Step 5: Solve for x
    x = 2,104,636,392,432.25/671,923.25
  6. Step 6: Final answer
    x = 3,132,257.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.