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Finding the Third Proportional to 2,005,578 and 3,106,831.50

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Solution

The third proportional to 2,005,578 and 3,106,831.50 is: 4,812,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,578 : 3,106,831.50 = 3,106,831.50 : x
  2. Step 2: Convert to fraction form
    2,005,578/3,106,831.50 = 3,106,831.50/x
  3. Step 3: Cross multiply
    2,005,578x = 3,106,831.50 × 3,106,831.50
  4. Step 4: Simplify right side
    2,005,578x = 9,652,401,969,392.25
  5. Step 5: Solve for x
    x = 9,652,401,969,392.25/2,005,578
  6. Step 6: Final answer
    x = 4,812,778.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.