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Finding the Third Proportional to 640,831.50 and 1,512,742.50

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Solution

The third proportional to 640,831.50 and 1,512,742.50 is: 3,570,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,831.50 : 1,512,742.50 = 1,512,742.50 : x
  2. Step 2: Convert to fraction form
    640,831.50/1,512,742.50 = 1,512,742.50/x
  3. Step 3: Cross multiply
    640,831.50x = 1,512,742.50 × 1,512,742.50
  4. Step 4: Simplify right side
    640,831.50x = 2,288,389,871,306.25
  5. Step 5: Solve for x
    x = 2,288,389,871,306.25/640,831.50
  6. Step 6: Final answer
    x = 3,570,969.70

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.