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Finding the Third Proportional to 864,560 and 1,389,099

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Solution

The third proportional to 864,560 and 1,389,099 is: 2,231,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,560 : 1,389,099 = 1,389,099 : x
  2. Step 2: Convert to fraction form
    864,560/1,389,099 = 1,389,099/x
  3. Step 3: Cross multiply
    864,560x = 1,389,099 × 1,389,099
  4. Step 4: Simplify right side
    864,560x = 1,929,596,031,801
  5. Step 5: Solve for x
    x = 1,929,596,031,801/864,560
  6. Step 6: Final answer
    x = 2,231,882.15

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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.