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Finding the Third Proportional to 595,708 and 1,161,328

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Solution

The third proportional to 595,708 and 1,161,328 is: 2,263,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,708 : 1,161,328 = 1,161,328 : x
  2. Step 2: Convert to fraction form
    595,708/1,161,328 = 1,161,328/x
  3. Step 3: Cross multiply
    595,708x = 1,161,328 × 1,161,328
  4. Step 4: Simplify right side
    595,708x = 1,348,682,723,584
  5. Step 5: Solve for x
    x = 1,348,682,723,584/595,708
  6. Step 6: Final answer
    x = 2,263,999.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.