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Finding the Third Proportional to 820,160.44 and 1,766,048.06

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Solution

The third proportional to 820,160.44 and 1,766,048.06 is: 3,802,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,160.44 : 1,766,048.06 = 1,766,048.06 : x
  2. Step 2: Convert to fraction form
    820,160.44/1,766,048.06 = 1,766,048.06/x
  3. Step 3: Cross multiply
    820,160.44x = 1,766,048.06 × 1,766,048.06
  4. Step 4: Simplify right side
    820,160.44x = 3,118,925,759,060.00
  5. Step 5: Solve for x
    x = 3,118,925,759,060.00/820,160.44
  6. Step 6: Final answer
    x = 3,802,823.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.