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Finding the Third Proportional to 591,761 and 1,294,236

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Solution

The third proportional to 591,761 and 1,294,236 is: 2,830,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,761 : 1,294,236 = 1,294,236 : x
  2. Step 2: Convert to fraction form
    591,761/1,294,236 = 1,294,236/x
  3. Step 3: Cross multiply
    591,761x = 1,294,236 × 1,294,236
  4. Step 4: Simplify right side
    591,761x = 1,675,046,823,696
  5. Step 5: Solve for x
    x = 1,675,046,823,696/591,761
  6. Step 6: Final answer
    x = 2,830,613.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.