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Finding the Third Proportional to 593,676 and 890,514

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Solution

The third proportional to 593,676 and 890,514 is: 1,335,771

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,676 : 890,514 = 890,514 : x
  2. Step 2: Convert to fraction form
    593,676/890,514 = 890,514/x
  3. Step 3: Cross multiply
    593,676x = 890,514 × 890,514
  4. Step 4: Simplify right side
    593,676x = 793,015,184,196
  5. Step 5: Solve for x
    x = 793,015,184,196/593,676
  6. Step 6: Final answer
    x = 1,335,771

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.