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Finding the Third Proportional to 436,807 and 950,534

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Solution

The third proportional to 436,807 and 950,534 is: 2,068,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,807 : 950,534 = 950,534 : x
  2. Step 2: Convert to fraction form
    436,807/950,534 = 950,534/x
  3. Step 3: Cross multiply
    436,807x = 950,534 × 950,534
  4. Step 4: Simplify right side
    436,807x = 903,514,885,156
  5. Step 5: Solve for x
    x = 903,514,885,156/436,807
  6. Step 6: Final answer
    x = 2,068,453.31

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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.