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Finding the Third Proportional to 1,187,114.63 and 1,839,313.69

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Solution

The third proportional to 1,187,114.63 and 1,839,313.69 is: 2,849,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,114.63 : 1,839,313.69 = 1,839,313.69 : x
  2. Step 2: Convert to fraction form
    1,187,114.63/1,839,313.69 = 1,839,313.69/x
  3. Step 3: Cross multiply
    1,187,114.63x = 1,839,313.69 × 1,839,313.69
  4. Step 4: Simplify right side
    1,187,114.63x = 3,383,074,841,024.85
  5. Step 5: Solve for x
    x = 3,383,074,841,024.85/1,187,114.63
  6. Step 6: Final answer
    x = 2,849,829.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.