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Finding the Third Proportional to 986,430 and 1,336,761

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Solution

The third proportional to 986,430 and 1,336,761 is: 1,811,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,430 : 1,336,761 = 1,336,761 : x
  2. Step 2: Convert to fraction form
    986,430/1,336,761 = 1,336,761/x
  3. Step 3: Cross multiply
    986,430x = 1,336,761 × 1,336,761
  4. Step 4: Simplify right side
    986,430x = 1,786,929,971,121
  5. Step 5: Solve for x
    x = 1,786,929,971,121/986,430
  6. Step 6: Final answer
    x = 1,811,512.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.