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Finding the Third Proportional to 696,086 and 1,520,008

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Solution

The third proportional to 696,086 and 1,520,008 is: 3,319,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,086 : 1,520,008 = 1,520,008 : x
  2. Step 2: Convert to fraction form
    696,086/1,520,008 = 1,520,008/x
  3. Step 3: Cross multiply
    696,086x = 1,520,008 × 1,520,008
  4. Step 4: Simplify right side
    696,086x = 2,310,424,320,064
  5. Step 5: Solve for x
    x = 2,310,424,320,064/696,086
  6. Step 6: Final answer
    x = 3,319,165.05

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