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Finding the Third Proportional to 1,425,510.75 and 3,101,974.50

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Solution

The third proportional to 1,425,510.75 and 3,101,974.50 is: 6,750,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,510.75 : 3,101,974.50 = 3,101,974.50 : x
  2. Step 2: Convert to fraction form
    1,425,510.75/3,101,974.50 = 3,101,974.50/x
  3. Step 3: Cross multiply
    1,425,510.75x = 3,101,974.50 × 3,101,974.50
  4. Step 4: Simplify right side
    1,425,510.75x = 9,622,245,798,650.25
  5. Step 5: Solve for x
    x = 9,622,245,798,650.25/1,425,510.75
  6. Step 6: Final answer
    x = 6,750,033.84

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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.