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Finding the Third Proportional to 1,687,516.50 and 3,695,577

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Solution

The third proportional to 1,687,516.50 and 3,695,577 is: 8,093,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,516.50 : 3,695,577 = 3,695,577 : x
  2. Step 2: Convert to fraction form
    1,687,516.50/3,695,577 = 3,695,577/x
  3. Step 3: Cross multiply
    1,687,516.50x = 3,695,577 × 3,695,577
  4. Step 4: Simplify right side
    1,687,516.50x = 13,657,289,362,929
  5. Step 5: Solve for x
    x = 13,657,289,362,929/1,687,516.50
  6. Step 6: Final answer
    x = 8,093,129.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.