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Finding the Third Proportional to 482,288 and 1,031,005

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Solution

The third proportional to 482,288 and 1,031,005 is: 2,204,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,288 : 1,031,005 = 1,031,005 : x
  2. Step 2: Convert to fraction form
    482,288/1,031,005 = 1,031,005/x
  3. Step 3: Cross multiply
    482,288x = 1,031,005 × 1,031,005
  4. Step 4: Simplify right side
    482,288x = 1,062,971,310,025
  5. Step 5: Solve for x
    x = 1,062,971,310,025/482,288
  6. Step 6: Final answer
    x = 2,204,017.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.