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Finding the Third Proportional to 1,586,620.50 and 3,425,727

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Solution

The third proportional to 1,586,620.50 and 3,425,727 is: 7,396,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,620.50 : 3,425,727 = 3,425,727 : x
  2. Step 2: Convert to fraction form
    1,586,620.50/3,425,727 = 3,425,727/x
  3. Step 3: Cross multiply
    1,586,620.50x = 3,425,727 × 3,425,727
  4. Step 4: Simplify right side
    1,586,620.50x = 11,735,605,478,529
  5. Step 5: Solve for x
    x = 11,735,605,478,529/1,586,620.50
  6. Step 6: Final answer
    x = 7,396,605.22

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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.