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Finding the Third Proportional to 415,946.25 and 894,937.50

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Solution

The third proportional to 415,946.25 and 894,937.50 is: 1,925,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,946.25 : 894,937.50 = 894,937.50 : x
  2. Step 2: Convert to fraction form
    415,946.25/894,937.50 = 894,937.50/x
  3. Step 3: Cross multiply
    415,946.25x = 894,937.50 × 894,937.50
  4. Step 4: Simplify right side
    415,946.25x = 800,913,128,906.25
  5. Step 5: Solve for x
    x = 800,913,128,906.25/415,946.25
  6. Step 6: Final answer
    x = 1,925,520.73

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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.