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Finding the Third Proportional to 736,690 and 1,586,736

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Solution

The third proportional to 736,690 and 1,586,736 is: 3,417,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,690 : 1,586,736 = 1,586,736 : x
  2. Step 2: Convert to fraction form
    736,690/1,586,736 = 1,586,736/x
  3. Step 3: Cross multiply
    736,690x = 1,586,736 × 1,586,736
  4. Step 4: Simplify right side
    736,690x = 2,517,731,133,696
  5. Step 5: Solve for x
    x = 2,517,731,133,696/736,690
  6. Step 6: Final answer
    x = 3,417,626.32

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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.