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Finding the Third Proportional to 736,996 and 1,586,744

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Solution

The third proportional to 736,996 and 1,586,744 is: 3,416,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,996 : 1,586,744 = 1,586,744 : x
  2. Step 2: Convert to fraction form
    736,996/1,586,744 = 1,586,744/x
  3. Step 3: Cross multiply
    736,996x = 1,586,744 × 1,586,744
  4. Step 4: Simplify right side
    736,996x = 2,517,756,521,536
  5. Step 5: Solve for x
    x = 2,517,756,521,536/736,996
  6. Step 6: Final answer
    x = 3,416,241.77

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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.