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Finding the Third Proportional to 694,023 and 1,606,515

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Solution

The third proportional to 694,023 and 1,606,515 is: 3,718,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,023 : 1,606,515 = 1,606,515 : x
  2. Step 2: Convert to fraction form
    694,023/1,606,515 = 1,606,515/x
  3. Step 3: Cross multiply
    694,023x = 1,606,515 × 1,606,515
  4. Step 4: Simplify right side
    694,023x = 2,580,890,445,225
  5. Step 5: Solve for x
    x = 2,580,890,445,225/694,023
  6. Step 6: Final answer
    x = 3,718,739.07

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.