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Finding the Third Proportional to 766,828.27 and 1,660,605.05

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Solution

The third proportional to 766,828.27 and 1,660,605.05 is: 3,596,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,828.27 : 1,660,605.05 = 1,660,605.05 : x
  2. Step 2: Convert to fraction form
    766,828.27/1,660,605.05 = 1,660,605.05/x
  3. Step 3: Cross multiply
    766,828.27x = 1,660,605.05 × 1,660,605.05
  4. Step 4: Simplify right side
    766,828.27x = 2,757,609,121,706.72
  5. Step 5: Solve for x
    x = 2,757,609,121,706.72/766,828.27
  6. Step 6: Final answer
    x = 3,596,123.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.