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Finding the Third Proportional to 766,406.81 and 1,582,021.13

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Solution

The third proportional to 766,406.81 and 1,582,021.13 is: 3,265,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,406.81 : 1,582,021.13 = 1,582,021.13 : x
  2. Step 2: Convert to fraction form
    766,406.81/1,582,021.13 = 1,582,021.13/x
  3. Step 3: Cross multiply
    766,406.81x = 1,582,021.13 × 1,582,021.13
  4. Step 4: Simplify right side
    766,406.81x = 2,502,790,839,946.27
  5. Step 5: Solve for x
    x = 2,502,790,839,946.27/766,406.81
  6. Step 6: Final answer
    x = 3,265,616.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.