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Finding the Third Proportional to 1,147,623.19 and 1,770,810.75

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Solution

The third proportional to 1,147,623.19 and 1,770,810.75 is: 2,732,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,623.19 : 1,770,810.75 = 1,770,810.75 : x
  2. Step 2: Convert to fraction form
    1,147,623.19/1,770,810.75 = 1,770,810.75/x
  3. Step 3: Cross multiply
    1,147,623.19x = 1,770,810.75 × 1,770,810.75
  4. Step 4: Simplify right side
    1,147,623.19x = 3,135,770,712,315.56
  5. Step 5: Solve for x
    x = 3,135,770,712,315.56/1,147,623.19
  6. Step 6: Final answer
    x = 2,732,404.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.