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Finding the Third Proportional to 1,448,081.30 and 1,966,682.53

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Solution

The third proportional to 1,448,081.30 and 1,966,682.53 is: 2,671,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,081.30 : 1,966,682.53 = 1,966,682.53 : x
  2. Step 2: Convert to fraction form
    1,448,081.30/1,966,682.53 = 1,966,682.53/x
  3. Step 3: Cross multiply
    1,448,081.30x = 1,966,682.53 × 1,966,682.53
  4. Step 4: Simplify right side
    1,448,081.30x = 3,867,840,178,723.91
  5. Step 5: Solve for x
    x = 3,867,840,178,723.91/1,448,081.30
  6. Step 6: Final answer
    x = 2,671,010.38

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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.