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Finding the Third Proportional to 787,698.50 and 1,687,480.50

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Solution

The third proportional to 787,698.50 and 1,687,480.50 is: 3,615,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,698.50 : 1,687,480.50 = 1,687,480.50 : x
  2. Step 2: Convert to fraction form
    787,698.50/1,687,480.50 = 1,687,480.50/x
  3. Step 3: Cross multiply
    787,698.50x = 1,687,480.50 × 1,687,480.50
  4. Step 4: Simplify right side
    787,698.50x = 2,847,590,437,880.25
  5. Step 5: Solve for x
    x = 2,847,590,437,880.25/787,698.50
  6. Step 6: Final answer
    x = 3,615,076.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.