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Finding the Third Proportional to 787,079.25 and 1,668,742.31

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Solution

The third proportional to 787,079.25 and 1,668,742.31 is: 3,538,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,079.25 : 1,668,742.31 = 1,668,742.31 : x
  2. Step 2: Convert to fraction form
    787,079.25/1,668,742.31 = 1,668,742.31/x
  3. Step 3: Cross multiply
    787,079.25x = 1,668,742.31 × 1,668,742.31
  4. Step 4: Simplify right side
    787,079.25x = 2,784,700,905,527.85
  5. Step 5: Solve for x
    x = 2,784,700,905,527.85/787,079.25
  6. Step 6: Final answer
    x = 3,538,018.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.