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Finding the Third Proportional to 1,586,535.75 and 3,425,535

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Solution

The third proportional to 1,586,535.75 and 3,425,535 is: 7,396,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,535.75 : 3,425,535 = 3,425,535 : x
  2. Step 2: Convert to fraction form
    1,586,535.75/3,425,535 = 3,425,535/x
  3. Step 3: Cross multiply
    1,586,535.75x = 3,425,535 × 3,425,535
  4. Step 4: Simplify right side
    1,586,535.75x = 11,734,290,036,225
  5. Step 5: Solve for x
    x = 11,734,290,036,225/1,586,535.75
  6. Step 6: Final answer
    x = 7,396,171.21

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