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Finding the Third Proportional to 726,206 and 1,595,764

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Solution

The third proportional to 726,206 and 1,595,764 is: 3,506,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,206 : 1,595,764 = 1,595,764 : x
  2. Step 2: Convert to fraction form
    726,206/1,595,764 = 1,595,764/x
  3. Step 3: Cross multiply
    726,206x = 1,595,764 × 1,595,764
  4. Step 4: Simplify right side
    726,206x = 2,546,462,743,696
  5. Step 5: Solve for x
    x = 2,546,462,743,696/726,206
  6. Step 6: Final answer
    x = 3,506,529.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.