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Finding the Third Proportional to 1,677,214.50 and 3,683,922

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Solution

The third proportional to 1,677,214.50 and 3,683,922 is: 8,091,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,214.50 : 3,683,922 = 3,683,922 : x
  2. Step 2: Convert to fraction form
    1,677,214.50/3,683,922 = 3,683,922/x
  3. Step 3: Cross multiply
    1,677,214.50x = 3,683,922 × 3,683,922
  4. Step 4: Simplify right side
    1,677,214.50x = 13,571,281,302,084
  5. Step 5: Solve for x
    x = 13,571,281,302,084/1,677,214.50
  6. Step 6: Final answer
    x = 8,091,559.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.