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Finding the Third Proportional to 1,586,439 and 2,383,175

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Solution

The third proportional to 1,586,439 and 2,383,175 is: 3,580,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,439 : 2,383,175 = 2,383,175 : x
  2. Step 2: Convert to fraction form
    1,586,439/2,383,175 = 2,383,175/x
  3. Step 3: Cross multiply
    1,586,439x = 2,383,175 × 2,383,175
  4. Step 4: Simplify right side
    1,586,439x = 5,679,523,080,625
  5. Step 5: Solve for x
    x = 5,679,523,080,625/1,586,439
  6. Step 6: Final answer
    x = 3,580,045.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.