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Finding the Third Proportional to 1,586,478 and 3,093,252

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Solution

The third proportional to 1,586,478 and 3,093,252 is: 6,031,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,478 : 3,093,252 = 3,093,252 : x
  2. Step 2: Convert to fraction form
    1,586,478/3,093,252 = 3,093,252/x
  3. Step 3: Cross multiply
    1,586,478x = 3,093,252 × 3,093,252
  4. Step 4: Simplify right side
    1,586,478x = 9,568,207,935,504
  5. Step 5: Solve for x
    x = 9,568,207,935,504/1,586,478
  6. Step 6: Final answer
    x = 6,031,100.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.