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Finding the Third Proportional to 1,586,532.75 and 2,416,998.38

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Solution

The third proportional to 1,586,532.75 and 2,416,998.38 is: 3,682,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,532.75 : 2,416,998.38 = 2,416,998.38 : x
  2. Step 2: Convert to fraction form
    1,586,532.75/2,416,998.38 = 2,416,998.38/x
  3. Step 3: Cross multiply
    1,586,532.75x = 2,416,998.38 × 2,416,998.38
  4. Step 4: Simplify right side
    1,586,532.75x = 5,841,881,144,752.64
  5. Step 5: Solve for x
    x = 5,841,881,144,752.64/1,586,532.75
  6. Step 6: Final answer
    x = 3,682,168.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.