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Finding the Third Proportional to 1,684,516.88 and 3,652,776.75

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Solution

The third proportional to 1,684,516.88 and 3,652,776.75 is: 7,920,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,516.88 : 3,652,776.75 = 3,652,776.75 : x
  2. Step 2: Convert to fraction form
    1,684,516.88/3,652,776.75 = 3,652,776.75/x
  3. Step 3: Cross multiply
    1,684,516.88x = 3,652,776.75 × 3,652,776.75
  4. Step 4: Simplify right side
    1,684,516.88x = 13,342,777,985,340.56
  5. Step 5: Solve for x
    x = 13,342,777,985,340.56/1,684,516.88
  6. Step 6: Final answer
    x = 7,920,833.67

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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.