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Finding the Third Proportional to 681,700 and 1,036,715

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Solution

The third proportional to 681,700 and 1,036,715 is: 1,576,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,700 : 1,036,715 = 1,036,715 : x
  2. Step 2: Convert to fraction form
    681,700/1,036,715 = 1,036,715/x
  3. Step 3: Cross multiply
    681,700x = 1,036,715 × 1,036,715
  4. Step 4: Simplify right side
    681,700x = 1,074,777,991,225
  5. Step 5: Solve for x
    x = 1,074,777,991,225/681,700
  6. Step 6: Final answer
    x = 1,576,614.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.