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Finding the Third Proportional to 762,723 and 1,153,926

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Solution

The third proportional to 762,723 and 1,153,926 is: 1,745,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,723 : 1,153,926 = 1,153,926 : x
  2. Step 2: Convert to fraction form
    762,723/1,153,926 = 1,153,926/x
  3. Step 3: Cross multiply
    762,723x = 1,153,926 × 1,153,926
  4. Step 4: Simplify right side
    762,723x = 1,331,545,213,476
  5. Step 5: Solve for x
    x = 1,331,545,213,476/762,723
  6. Step 6: Final answer
    x = 1,745,778.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.