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Finding the Third Proportional to 1,586,289 and 2,416,611

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Solution

The third proportional to 1,586,289 and 2,416,611 is: 3,681,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,289 : 2,416,611 = 2,416,611 : x
  2. Step 2: Convert to fraction form
    1,586,289/2,416,611 = 2,416,611/x
  3. Step 3: Cross multiply
    1,586,289x = 2,416,611 × 2,416,611
  4. Step 4: Simplify right side
    1,586,289x = 5,840,008,725,321
  5. Step 5: Solve for x
    x = 5,840,008,725,321/1,586,289
  6. Step 6: Final answer
    x = 3,681,554.07

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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.