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Finding the Third Proportional to 1,586,612.50 and 3,425,710

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Solution

The third proportional to 1,586,612.50 and 3,425,710 is: 7,396,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,612.50 : 3,425,710 = 3,425,710 : x
  2. Step 2: Convert to fraction form
    1,586,612.50/3,425,710 = 3,425,710/x
  3. Step 3: Cross multiply
    1,586,612.50x = 3,425,710 × 3,425,710
  4. Step 4: Simplify right side
    1,586,612.50x = 11,735,489,004,100
  5. Step 5: Solve for x
    x = 11,735,489,004,100/1,586,612.50
  6. Step 6: Final answer
    x = 7,396,569.11

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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.