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Finding the Third Proportional to 864,540 and 1,389,069

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Solution

The third proportional to 864,540 and 1,389,069 is: 2,231,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,540 : 1,389,069 = 1,389,069 : x
  2. Step 2: Convert to fraction form
    864,540/1,389,069 = 1,389,069/x
  3. Step 3: Cross multiply
    864,540x = 1,389,069 × 1,389,069
  4. Step 4: Simplify right side
    864,540x = 1,929,512,686,761
  5. Step 5: Solve for x
    x = 1,929,512,686,761/864,540
  6. Step 6: Final answer
    x = 2,231,837.38

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.