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Finding the Third Proportional to 780,976 and 1,583,684

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Solution

The third proportional to 780,976 and 1,583,684 is: 3,211,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,976 : 1,583,684 = 1,583,684 : x
  2. Step 2: Convert to fraction form
    780,976/1,583,684 = 1,583,684/x
  3. Step 3: Cross multiply
    780,976x = 1,583,684 × 1,583,684
  4. Step 4: Simplify right side
    780,976x = 2,508,055,011,856
  5. Step 5: Solve for x
    x = 2,508,055,011,856/780,976
  6. Step 6: Final answer
    x = 3,211,436.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.