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Finding the Third Proportional to 763,946.44 and 1,618,960.92

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Solution

The third proportional to 763,946.44 and 1,618,960.92 is: 3,430,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,946.44 : 1,618,960.92 = 1,618,960.92 : x
  2. Step 2: Convert to fraction form
    763,946.44/1,618,960.92 = 1,618,960.92/x
  3. Step 3: Cross multiply
    763,946.44x = 1,618,960.92 × 1,618,960.92
  4. Step 4: Simplify right side
    763,946.44x = 2,621,034,466,558.35
  5. Step 5: Solve for x
    x = 2,621,034,466,558.35/763,946.44
  6. Step 6: Final answer
    x = 3,430,913.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.