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Finding the Third Proportional to 463,822.31 and 997,763.06

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Solution

The third proportional to 463,822.31 and 997,763.06 is: 2,146,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,822.31 : 997,763.06 = 997,763.06 : x
  2. Step 2: Convert to fraction form
    463,822.31/997,763.06 = 997,763.06/x
  3. Step 3: Cross multiply
    463,822.31x = 997,763.06 × 997,763.06
  4. Step 4: Simplify right side
    463,822.31x = 995,531,128,889.38
  5. Step 5: Solve for x
    x = 995,531,128,889.38/463,822.31
  6. Step 6: Final answer
    x = 2,146,363.17

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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.