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Finding the Third Proportional to 693,723 and 1,513,494

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Solution

The third proportional to 693,723 and 1,513,494 is: 3,301,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,723 : 1,513,494 = 1,513,494 : x
  2. Step 2: Convert to fraction form
    693,723/1,513,494 = 1,513,494/x
  3. Step 3: Cross multiply
    693,723x = 1,513,494 × 1,513,494
  4. Step 4: Simplify right side
    693,723x = 2,290,664,088,036
  5. Step 5: Solve for x
    x = 2,290,664,088,036/693,723
  6. Step 6: Final answer
    x = 3,301,986.65

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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.