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Finding the Third Proportional to 775,650.50 and 1,676,020.50

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Solution

The third proportional to 775,650.50 and 1,676,020.50 is: 3,621,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,650.50 : 1,676,020.50 = 1,676,020.50 : x
  2. Step 2: Convert to fraction form
    775,650.50/1,676,020.50 = 1,676,020.50/x
  3. Step 3: Cross multiply
    775,650.50x = 1,676,020.50 × 1,676,020.50
  4. Step 4: Simplify right side
    775,650.50x = 2,809,044,716,420.25
  5. Step 5: Solve for x
    x = 2,809,044,716,420.25/775,650.50
  6. Step 6: Final answer
    x = 3,621,534.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.