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Finding the Third Proportional to 415,940.06 and 894,927.23

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Solution

The third proportional to 415,940.06 and 894,927.23 is: 1,925,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940.06 : 894,927.23 = 894,927.23 : x
  2. Step 2: Convert to fraction form
    415,940.06/894,927.23 = 894,927.23/x
  3. Step 3: Cross multiply
    415,940.06x = 894,927.23 × 894,927.23
  4. Step 4: Simplify right side
    415,940.06x = 800,894,754,826.09
  5. Step 5: Solve for x
    x = 800,894,754,826.09/415,940.06
  6. Step 6: Final answer
    x = 1,925,505.20

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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.