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Finding the Third Proportional to 415,943.44 and 894,934.13

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Solution

The third proportional to 415,943.44 and 894,934.13 is: 1,925,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,943.44 : 894,934.13 = 894,934.13 : x
  2. Step 2: Convert to fraction form
    415,943.44/894,934.13 = 894,934.13/x
  3. Step 3: Cross multiply
    415,943.44x = 894,934.13 × 894,934.13
  4. Step 4: Simplify right side
    415,943.44x = 800,907,088,089.52
  5. Step 5: Solve for x
    x = 800,907,088,089.52/415,943.44
  6. Step 6: Final answer
    x = 1,925,519.23

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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.