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Finding the Third Proportional to 736,694 and 1,586,742

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Solution

The third proportional to 736,694 and 1,586,742 is: 3,417,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,694 : 1,586,742 = 1,586,742 : x
  2. Step 2: Convert to fraction form
    736,694/1,586,742 = 1,586,742/x
  3. Step 3: Cross multiply
    736,694x = 1,586,742 × 1,586,742
  4. Step 4: Simplify right side
    736,694x = 2,517,750,174,564
  5. Step 5: Solve for x
    x = 2,517,750,174,564/736,694
  6. Step 6: Final answer
    x = 3,417,633.61

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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.