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Finding the Third Proportional to 436,808 and 950,536

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Solution

The third proportional to 436,808 and 950,536 is: 2,068,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,808 : 950,536 = 950,536 : x
  2. Step 2: Convert to fraction form
    436,808/950,536 = 950,536/x
  3. Step 3: Cross multiply
    436,808x = 950,536 × 950,536
  4. Step 4: Simplify right side
    436,808x = 903,518,687,296
  5. Step 5: Solve for x
    x = 903,518,687,296/436,808
  6. Step 6: Final answer
    x = 2,068,457.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.