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Finding the Third Proportional to 671,922.84 and 1,450,735.31

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Solution

The third proportional to 671,922.84 and 1,450,735.31 is: 3,132,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,922.84 : 1,450,735.31 = 1,450,735.31 : x
  2. Step 2: Convert to fraction form
    671,922.84/1,450,735.31 = 1,450,735.31/x
  3. Step 3: Cross multiply
    671,922.84x = 1,450,735.31 × 1,450,735.31
  4. Step 4: Simplify right side
    671,922.84x = 2,104,632,946,934.47
  5. Step 5: Solve for x
    x = 2,104,632,946,934.47/671,922.84
  6. Step 6: Final answer
    x = 3,132,253.90

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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.