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Finding the Third Proportional to 1,583,023.50 and 3,277,989

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Solution

The third proportional to 1,583,023.50 and 3,277,989 is: 6,787,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,023.50 : 3,277,989 = 3,277,989 : x
  2. Step 2: Convert to fraction form
    1,583,023.50/3,277,989 = 3,277,989/x
  3. Step 3: Cross multiply
    1,583,023.50x = 3,277,989 × 3,277,989
  4. Step 4: Simplify right side
    1,583,023.50x = 10,745,211,884,121
  5. Step 5: Solve for x
    x = 10,745,211,884,121/1,583,023.50
  6. Step 6: Final answer
    x = 6,787,777.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.