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Finding the Third Proportional to 738,674 and 1,587,682

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Solution

The third proportional to 738,674 and 1,587,682 is: 3,412,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,674 : 1,587,682 = 1,587,682 : x
  2. Step 2: Convert to fraction form
    738,674/1,587,682 = 1,587,682/x
  3. Step 3: Cross multiply
    738,674x = 1,587,682 × 1,587,682
  4. Step 4: Simplify right side
    738,674x = 2,520,734,133,124
  5. Step 5: Solve for x
    x = 2,520,734,133,124/738,674
  6. Step 6: Final answer
    x = 3,412,512.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.