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Finding the Third Proportional to 723,719 and 1,543,621

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Solution

The third proportional to 723,719 and 1,543,621 is: 3,292,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,719 : 1,543,621 = 1,543,621 : x
  2. Step 2: Convert to fraction form
    723,719/1,543,621 = 1,543,621/x
  3. Step 3: Cross multiply
    723,719x = 1,543,621 × 1,543,621
  4. Step 4: Simplify right side
    723,719x = 2,382,765,791,641
  5. Step 5: Solve for x
    x = 2,382,765,791,641/723,719
  6. Step 6: Final answer
    x = 3,292,390.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.