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Finding the Third Proportional to 463,826 and 997,772

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Solution

The third proportional to 463,826 and 997,772 is: 2,146,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,826 : 997,772 = 997,772 : x
  2. Step 2: Convert to fraction form
    463,826/997,772 = 997,772/x
  3. Step 3: Cross multiply
    463,826x = 997,772 × 997,772
  4. Step 4: Simplify right side
    463,826x = 995,548,963,984
  5. Step 5: Solve for x
    x = 995,548,963,984/463,826
  6. Step 6: Final answer
    x = 2,146,384.56

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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.