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Finding the Third Proportional to 650,620.69 and 1,409,831.16

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Solution

The third proportional to 650,620.69 and 1,409,831.16 is: 3,054,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,620.69 : 1,409,831.16 = 1,409,831.16 : x
  2. Step 2: Convert to fraction form
    650,620.69/1,409,831.16 = 1,409,831.16/x
  3. Step 3: Cross multiply
    650,620.69x = 1,409,831.16 × 1,409,831.16
  4. Step 4: Simplify right side
    650,620.69x = 1,987,623,889,133.21
  5. Step 5: Solve for x
    x = 1,987,623,889,133.21/650,620.69
  6. Step 6: Final answer
    x = 3,054,965.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.