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Finding the Third Proportional to 725,075.93 and 1,580,150.21

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Solution

The third proportional to 725,075.93 and 1,580,150.21 is: 3,443,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,075.93 : 1,580,150.21 = 1,580,150.21 : x
  2. Step 2: Convert to fraction form
    725,075.93/1,580,150.21 = 1,580,150.21/x
  3. Step 3: Cross multiply
    725,075.93x = 1,580,150.21 × 1,580,150.21
  4. Step 4: Simplify right side
    725,075.93x = 2,496,874,701,470.59
  5. Step 5: Solve for x
    x = 2,496,874,701,470.59/725,075.93
  6. Step 6: Final answer
    x = 3,443,604.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.