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Finding the Third Proportional to 463,060 and 950,696

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Solution

The third proportional to 463,060 and 950,696 is: 1,951,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,060 : 950,696 = 950,696 : x
  2. Step 2: Convert to fraction form
    463,060/950,696 = 950,696/x
  3. Step 3: Cross multiply
    463,060x = 950,696 × 950,696
  4. Step 4: Simplify right side
    463,060x = 903,822,884,416
  5. Step 5: Solve for x
    x = 903,822,884,416/463,060
  6. Step 6: Final answer
    x = 1,951,848.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.