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Finding the Third Proportional to 1,666,711.69 and 2,263,762.69

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Solution

The third proportional to 1,666,711.69 and 2,263,762.69 is: 3,074,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,711.69 : 2,263,762.69 = 2,263,762.69 : x
  2. Step 2: Convert to fraction form
    1,666,711.69/2,263,762.69 = 2,263,762.69/x
  3. Step 3: Cross multiply
    1,666,711.69x = 2,263,762.69 × 2,263,762.69
  4. Step 4: Simplify right side
    1,666,711.69x = 5,124,621,505,317.22
  5. Step 5: Solve for x
    x = 5,124,621,505,317.22/1,666,711.69
  6. Step 6: Final answer
    x = 3,074,689.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.